78965760 has 176 divisors, whose sum is σ = 259985376. Its totient is φ = 20447232.

The previous prime is 78965741. The next prime is 78965801. The reversal of 78965760 is 6756987.

78965760 = T₂₅₉ + T₂₆₀ + ... + T₇₈₈.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 814032 + ... + 814128.

Almost surely, 2^78965760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129992688).

78965760 is an abundant number, since it is smaller than the sum of its proper divisors (181019616).

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

78965760 is a wasteful number, since it uses less digits than its factorization.

78965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 78965760 is about 8886.2680580770. The cubic root of 78965760 is about 429.0220428684.

The spelling of 78965760 in words is "seventy-eight million, nine hundred sixty-five thousand, seven hundred sixty".