78310656 has 108 divisors (see below), whose sum is σ = 231574980. Its totient is φ = 25436160.

The previous prime is 78310649. The next prime is 78310667. The reversal of 78310656 is 65601387.

It can be written as a sum of positive squares in 2 ways, for example, as 20793600 + 57517056 = 4560^2 + 7584^2 .

It is a super-2 number, since 2×78310656² = 12265117686300672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 78310656.

It is a congruent number.

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, 94050 + ... + 94878.

Almost surely, 2^78310656 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 78310656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115787490).

78310656 is an abundant number, since it is smaller than the sum of its proper divisors (153264324).

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

78310656 is a wasteful number, since it uses less digits than its factorization.

78310656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 78310656 is about 8849.3308221582. The cubic root of 78310656 is about 427.8323505622.

The spelling of 78310656 in words is "seventy-eight million, three hundred ten thousand, six hundred fifty-six".