76957920 has 144 divisors (see below), whose sum is σ = 282889152. Its totient is φ = 18938880.

The previous prime is 76957901. The next prime is 76957927. The reversal of 76957920 is 2975967.

76957920 is a `hidden beast` number, since 76 + 9 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76957927) 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, 16665 + ... + 20775.

It is an arithmetic number, because the mean of its divisors is an integer number (1964508).

Almost surely, 2^76957920 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 76957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141444576).

76957920 is an abundant number, since it is smaller than the sum of its proper divisors (205931232).

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

76957920 is a wasteful number, since it uses less digits than its factorization.

76957920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 76957920 is about 8772.5663291878. The cubic root of 76957920 is about 425.3545737655.

It can be divided in two parts, 76957 and 920, that added together give a palindrome (77877).

The spelling of 76957920 in words is "seventy-six million, nine hundred fifty-seven thousand, nine hundred twenty".