78164928 has 84 divisors (see below), whose sum is σ = 226517200. Its totient is φ = 25767936.

The previous prime is 78164923. The next prime is 78164941. The reversal of 78164928 is 82946187.

It is a super-2 number, since 2×78164928² = 12219511938490368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78164923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55173 + ... + 56571.

Almost surely, 2^78164928 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 78164928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113258600).

78164928 is an abundant number, since it is smaller than the sum of its proper divisors (148352272).

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

78164928 is a wasteful number, since it uses less digits than its factorization.

78164928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1501 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 78164928 is about 8841.0931450811. The cubic root of 78164928 is about 427.5668019134.

The spelling of 78164928 in words is "seventy-eight million, one hundred sixty-four thousand, nine hundred twenty-eight".