78174864 has 60 divisors (see below), whose sum is σ = 224134092. Its totient is φ = 25420800.

The previous prime is 78174809. The next prime is 78174883. The reversal of 78174864 is 46847187.

It can be written as a sum of positive squares in 2 ways, for example, as 44997264 + 33177600 = 6708^2 + 5760^2 .

It is a super-2 number, since 2×78174864² = 12222618722836992, which contains 22 as substring.

It is an unprimeable number.

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, 717 + ... + 12524.

Almost surely, 2^78174864 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 78174864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112067046).

78174864 is an abundant number, since it is smaller than the sum of its proper divisors (145959228).

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

78174864 is a wasteful number, since it uses less digits than its factorization.

78174864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13296 (or 13287 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 78174864 is about 8841.6550486886. The cubic root of 78174864 is about 427.5849179826.

The spelling of 78174864 in words is "seventy-eight million, one hundred seventy-four thousand, eight hundred sixty-four".