78394560 has 112 divisors (see below), whose sum is σ = 251252736. Its totient is φ = 20708352.

The previous prime is 78394559. The next prime is 78394607. The reversal of 78394560 is 6549387.

It is a happy number.

It is a super-2 number, since 2×78394560² = 12291414075187200, which contains 22 as substring.

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, 121599 + ... + 122241.

It is an arithmetic number, because the mean of its divisors is an integer number (2243328).

Almost surely, 2^78394560 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 78394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125626368).

78394560 is an abundant number, since it is smaller than the sum of its proper divisors (172858176).

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

78394560 is a wasteful number, since it uses less digits than its factorization.

78394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 78394560 is about 8854.0702504554. The cubic root of 78394560 is about 427.9850927932.

The spelling of 78394560 in words is "seventy-eight million, three hundred ninety-four thousand, five hundred sixty".