78792960 has 216 divisors, whose sum is σ = 271083456. Its totient is φ = 19496960.

The previous prime is 78792949. The next prime is 78792997. The reversal of 78792960 is 6929787.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1109725 + ... + 1109795.

It is an arithmetic number, because the mean of its divisors is an integer number (1255016).

Almost surely, 2^78792960 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 78792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135541728).

78792960 is an abundant number, since it is smaller than the sum of its proper divisors (192290496).

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

78792960 is a wasteful number, since it uses less digits than its factorization.

78792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 78792960 is about 8876.5398664119. The cubic root of 78792960 is about 428.7088727419.

The spelling of 78792960 in words is "seventy-eight million, seven hundred ninety-two thousand, nine hundred sixty".