78127056 has 120 divisors (see below), whose sum is σ = 251858880. Its totient is φ = 22146048.

The previous prime is 78127039. The next prime is 78127061. The reversal of 78127056 is 65072187.

It is a super-2 number, since 2×78127056² = 12207673758454272, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 78127056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180216 + ... + 180648.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2^78127056 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 78127056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125929440).

78127056 is an abundant number, since it is smaller than the sum of its proper divisors (173731824).

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

78127056 is a wasteful number, since it uses less digits than its factorization.

78127056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 78127056 is about 8838.9510689900. The cubic root of 78127056 is about 427.4977367275.

The spelling of 78127056 in words is "seventy-eight million, one hundred twenty-seven thousand, fifty-six".