78792560 has 80 divisors (see below), whose sum is σ = 228413952. Its totient is φ = 24556800.

The previous prime is 78792559. The next prime is 78792587. The reversal of 78792560 is 6529787.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×78792560² = 12416535022707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 236 + ... + 12555.

Almost surely, 2^78792560 is an apocalyptic number.

78792560 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 78792560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114206976).

78792560 is an abundant number, since it is smaller than the sum of its proper divisors (149621392).

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

78792560 is a wasteful number, since it uses less digits than its factorization.

78792560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12822 (or 12816 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 78792560 is about 8876.5173350814. The cubic root of 78792560 is about 428.7081472802.

The spelling of 78792560 in words is "seventy-eight million, seven hundred ninety-two thousand, five hundred sixty".