78705792 has 96 divisors (see below), whose sum is σ = 247113360. Its totient is φ = 23846400.

The previous prime is 78705779. The next prime is 78705811. The reversal of 78705792 is 29750787.

78705792 is a `hidden beast` number, since 7 + 8 + 70 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9567 + ... + 15777.

Almost surely, 2^78705792 is an apocalyptic number.

78705792 is a gapful number since it is divisible by the number (72) 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 78705792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123556680).

78705792 is an abundant number, since it is smaller than the sum of its proper divisors (168407568).

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

78705792 is a wasteful number, since it uses less digits than its factorization.

78705792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 78705792 is about 8871.6284863603. The cubic root of 78705792 is about 428.5507220472.

It can be divided in two parts, 78705 and 792, that added together give a palindrome (79497).

The spelling of 78705792 in words is "seventy-eight million, seven hundred five thousand, seven hundred ninety-two".