78756408 has 64 divisors (see below), whose sum is σ = 224128800. Its totient is φ = 25608960.

The previous prime is 78756407. The next prime is 78756413. The reversal of 78756408 is 80465787.

78756408 is a `hidden beast` number, since 7 + 87 + 564 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78756407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4410 + ... + 13302.

Almost surely, 2^78756408 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 78756408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112064400).

78756408 is an abundant number, since it is smaller than the sum of its proper divisors (145372392).

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

78756408 is a wasteful number, since it uses less digits than its factorization.

78756408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8949 (or 8939 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 78756408 is about 8874.4807172026. The cubic root of 78756408 is about 428.6425699044.

The spelling of 78756408 in words is "seventy-eight million, seven hundred fifty-six thousand, four hundred eight".