76415856 has 120 divisors (see below), whose sum is σ = 221652480. Its totient is φ = 22661760.

The previous prime is 76415851. The next prime is 76415861. The reversal of 76415856 is 65851467.

It is an interprime number because it is at equal distance from previous prime (76415851) and next prime (76415861).

Its product of digits (201600) is a multiple of the sum of its prime factors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76415851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342561 + ... + 342783.

It is an arithmetic number, because the mean of its divisors is an integer number (1847104).

Almost surely, 2^76415856 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 76415856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110826240).

76415856 is an abundant number, since it is smaller than the sum of its proper divisors (145236624).

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

76415856 is a wasteful number, since it uses less digits than its factorization.

76415856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 76415856 is about 8741.6163265154. The cubic root of 76415856 is about 424.3535380503.

The spelling of 76415856 in words is "seventy-six million, four hundred fifteen thousand, eight hundred fifty-six".