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78867040 = 2557671051
BaseRepresentation
bin1001011001101…
…10101001100000
312111101212020111
410230312221200
5130142221130
611454221104
71645234030
oct454665140
9174355214
1078867040
1140577a7a
12224b4794
13134547b5
14a68d8c0
156dcd02a
hex4b36a60

78867040 has 96 divisors (see below), whose sum is σ = 216324864. Its totient is φ = 26611200.

The previous prime is 78867001. The next prime is 78867077. The reversal of 78867040 is 4076887.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 78866984 and 78867002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74515 + ... + 75565.

It is an arithmetic number, because the mean of its divisors is an integer number (2253384).

Almost surely, 278867040 is an apocalyptic number.

78867040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108162432).

78867040 is an abundant number, since it is smaller than the sum of its proper divisors (137457824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78867040 is a wasteful number, since it uses less digits than its factorization.

78867040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 78867040 is about 8880.7116831930. The cubic root of 78867040 is about 428.8431859490.

The spelling of 78867040 in words is "seventy-eight million, eight hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 67 70 80 112 134 140 160 224 268 280 335 469 536 560 670 938 1051 1072 1120 1340 1876 2102 2144 2345 2680 3752 4204 4690 5255 5360 7357 7504 8408 9380 10510 10720 14714 15008 16816 18760 21020 29428 33632 36785 37520 42040 58856 70417 73570 75040 84080 117712 140834 147140 168160 235424 281668 294280 352085 492919 563336 588560 704170 985838 1126672 1177120 1408340 1971676 2253344 2464595 2816680 3943352 4929190 5633360 7886704 9858380 11266720 15773408 19716760 39433520 78867040