76376916 has 144 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 19460160.

The previous prime is 76376899. The next prime is 76376929. The reversal of 76376916 is 61967367.

76376916 is a `hidden beast` number, since 7 + 637 + 6 + 9 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 163315 + ... + 163781.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 2^76376916 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 76376916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

76376916 is an abundant number, since it is smaller than the sum of its proper divisors (168929964).

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

76376916 is a wasteful number, since it uses less digits than its factorization.

76376916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 549 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 76376916 is about 8739.3887658119. The cubic root of 76376916 is about 424.2814450963.

The spelling of 76376916 in words is "seventy-six million, three hundred seventy-six thousand, nine hundred sixteen".