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78920380 = 22572117321
BaseRepresentation
bin1001011010000…
…11101010111100
312111111120102001
410231003222330
5130200423010
611455312044
71645545400
oct455035274
9174446361
1078920380
1140604060
122251b624
1313472b66
14a6a5100
156dddc3a
hex4b43abc

78920380 has 72 divisors (see below), whose sum is σ = 210346416. Its totient is φ = 24595200.

The previous prime is 78920323. The next prime is 78920381. The reversal of 78920380 is 8302987.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78920381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7120 + ... + 14440.

It is an arithmetic number, because the mean of its divisors is an integer number (2921478).

Almost surely, 278920380 is an apocalyptic number.

78920380 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 78920380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105173208).

78920380 is an abundant number, since it is smaller than the sum of its proper divisors (131426036).

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

78920380 is a wasteful number, since it uses less digits than its factorization.

78920380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7355 (or 7346 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 78920380 is about 8883.7143132814. The cubic root of 78920380 is about 428.9398437356.

The spelling of 78920380 in words is "seventy-eight million, nine hundred twenty thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 7321 10780 14642 29284 36605 51247 73210 80531 102494 146420 161062 204988 256235 322124 358729 402655 512470 563717 717458 805310 1024940 1127434 1434916 1610620 1793645 2254868 2818585 3587290 3946019 5637170 7174580 7892038 11274340 15784076 19730095 39460190 78920380