78872976 has 180 divisors, whose sum is σ = 273756288. Its totient is φ = 20756736.

The previous prime is 78872921. The next prime is 78872987. The reversal of 78872976 is 67927887.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170121 + ... + 170583.

Almost surely, 2^78872976 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 78872976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136878144).

78872976 is an abundant number, since it is smaller than the sum of its proper divisors (194883312).

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

78872976 is a wasteful number, since it uses less digits than its factorization.

78872976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 488 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 78872976 is about 8881.0458843539. The cubic root of 78872976 is about 428.8539447708.

The spelling of 78872976 in words is "seventy-eight million, eight hundred seventy-two thousand, nine hundred seventy-six".