78892960 has 48 divisors (see below), whose sum is σ = 190735776. Its totient is φ = 30820608.

The previous prime is 78892951. The next prime is 78892973. The reversal of 78892960 is 6929887.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1147 + ... + 12613.

It is an arithmetic number, because the mean of its divisors is an integer number (3973662).

Almost surely, 2^78892960 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 78892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95367888).

78892960 is an abundant number, since it is smaller than the sum of its proper divisors (111842816).

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

78892960 is a wasteful number, since it uses less digits than its factorization.

78892960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11525 (or 11517 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 78892960 is about 8882.1709058090. The cubic root of 78892960 is about 428.8901612036.

The spelling of 78892960 in words is "seventy-eight million, eight hundred ninety-two thousand, nine hundred sixty".