76916961 has 48 divisors (see below), whose sum is σ = 127445760. Its totient is φ = 44271360.

The previous prime is 76916947. The next prime is 76916977. The reversal of 76916961 is 16961967.

It is not a de Polignac number, because 76916961 - 2⁶ = 76916897 is a prime.

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

Its product of digits (122472) is a multiple of the sum of its prime factors (486).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76916911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209400 + ... + 209766.

It is an arithmetic number, because the mean of its divisors is an integer number (2655120).

Almost surely, 2^76916961 is an apocalyptic number.

It is an amenable number.

76916961 is a deficient number, since it is larger than the sum of its proper divisors (50528799).

76916961 is a wasteful number, since it uses less digits than its factorization.

76916961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 483 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 76916961 is about 8770.2315248801. The cubic root of 76916961 is about 425.2790987971.

It can be divided in two parts, 76916 and 961, that added together give a palindrome (77877).

The spelling of 76916961 in words is "seventy-six million, nine hundred sixteen thousand, nine hundred sixty-one".