78535968 has 96 divisors (see below), whose sum is σ = 248048640. Its totient is φ = 21254400.

The previous prime is 78535943. The next prime is 78535979. The reversal of 78535968 is 86953587.

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

It is a self number, because there is not a number n which added to its sum of digits gives 78535968.

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, 9693 + ... + 15843.

It is an arithmetic number, because the mean of its divisors is an integer number (2583840).

Almost surely, 2^78535968 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 78535968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124024320).

78535968 is an abundant number, since it is smaller than the sum of its proper divisors (169512672).

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

78535968 is a wasteful number, since it uses less digits than its factorization.

78535968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6190 (or 6182 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 78535968 is about 8862.0521325481. The cubic root of 78535968 is about 428.2422711972.

The spelling of 78535968 in words is "seventy-eight million, five hundred thirty-five thousand, nine hundred sixty-eight".