78971904 has 264 divisors, whose sum is σ = 268238880. Its totient is φ = 22118400.

The previous prime is 78971899. The next prime is 78971939. The reversal of 78971904 is 40917987.

It is a tau number, because it is divible by the number of its divisors (264).

It is a self number, because there is not a number n which added to its sum of digits gives 78971904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1926124 + ... + 1926164.

Almost surely, 2^78971904 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 78971904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134119440).

78971904 is an abundant number, since it is smaller than the sum of its proper divisors (189266976).

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

78971904 is a wasteful number, since it uses less digits than its factorization.

78971904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 78971904 is about 8886.6137532808. The cubic root of 78971904 is about 429.0331693916.

It can be divided in two parts, 7897 and 1904, that added together give a square (9801 = 99²).

The spelling of 78971904 in words is "seventy-eight million, nine hundred seventy-one thousand, nine hundred four".