78591960 has 96 divisors (see below), whose sum is σ = 261415440. Its totient is φ = 20466432.

The previous prime is 78591937. The next prime is 78591971. The reversal of 78591960 is 6919587.

78591960 = 695² + 696² + ... + 829².

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 12942 + ... + 18018.

Almost surely, 2^78591960 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 78591960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130707720).

78591960 is an abundant number, since it is smaller than the sum of its proper divisors (182823480).

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

78591960 is a wasteful number, since it uses less digits than its factorization.

78591960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 78591960 is about 8865.2106573956. The cubic root of 78591960 is about 428.3440183997.

The spelling of 78591960 in words is "seventy-eight million, five hundred ninety-one thousand, nine hundred sixty".