76957320 has 128 divisors (see below), whose sum is σ = 254067840. Its totient is φ = 18493440.

The previous prime is 76957247. The next prime is 76957343. The reversal of 76957320 is 2375967.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228192 + ... + 228528.

It is an arithmetic number, because the mean of its divisors is an integer number (1984905).

Almost surely, 2^76957320 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 76957320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127033920).

76957320 is an abundant number, since it is smaller than the sum of its proper divisors (177110520).

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

76957320 is a wasteful number, since it uses less digits than its factorization.

76957320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 76957320 is about 8772.5321316026. The cubic root of 76957320 is about 425.3534683414.

It can be divided in two parts, 76957 and 320, that added together give a palindrome (77277).

The spelling of 76957320 in words is "seventy-six million, nine hundred fifty-seven thousand, three hundred twenty".