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78646680 = 233357101103
BaseRepresentation
bin1001011000000…
…00110110011000
312110222122222000
410230000312120
5130113143210
611445401000
71643325420
oct454006630
9173878860
1078646680
1140437462
1222409160
13133a83c8
14a633480
156d87ac0
hex4b00d98

78646680 has 256 divisors, whose sum is σ = 305510400. Its totient is φ = 17625600.

The previous prime is 78646627. The next prime is 78646697. The reversal of 78646680 is 8664687.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 763509 + ... + 763611.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 278646680 is an apocalyptic number.

78646680 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 78646680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).

78646680 is an abundant number, since it is smaller than the sum of its proper divisors (226863720).

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

78646680 is a wasteful number, since it uses less digits than its factorization.

78646680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 78646680 is about 8868.2963414627. The cubic root of 78646680 is about 428.4434074762.

The spelling of 78646680 in words is "seventy-eight million, six hundred forty-six thousand, six hundred eighty".