78192960 has 112 divisors (see below), whose sum is σ = 253691136. Its totient is φ = 20396032.

The previous prime is 78192937. The next prime is 78192971. The reversal of 78192960 is 6929187.

It is a super-2 number, since 2×78192960² = 12228277987123200, which contains 22 as substring.

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, 44254 + ... + 45986.

Almost surely, 2^78192960 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 78192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126845568).

78192960 is an abundant number, since it is smaller than the sum of its proper divisors (175498176).

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

78192960 is a wasteful number, since it uses less digits than its factorization.

78192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 78192960 is about 8842.6783272943. The cubic root of 78192960 is about 427.6179080399.

The spelling of 78192960 in words is "seventy-eight million, one hundred ninety-two thousand, nine hundred sixty".