76314880 has 36 divisors (see below), whose sum is σ = 182801052. Its totient is φ = 30525440.

The previous prime is 76314877. The next prime is 76314881. The reversal of 76314880 is 8841367.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46895104 + 29419776 = 6848^2 + 5424^2 .

It is a super-3 number, since 3×76314880³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (76314881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28531 + ... + 31090.

It is an arithmetic number, because the mean of its divisors is an integer number (5077807).

Almost surely, 2^76314880 is an apocalyptic number.

It is an amenable number.

76314880 is an abundant number, since it is smaller than the sum of its proper divisors (106486172).

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

76314880 is an equidigital number, since it uses as much as digits as its factorization.

76314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59642 (or 59628 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 76314880 is about 8735.8388263521. The cubic root of 76314880 is about 424.1665419094.

The spelling of 76314880 in words is "seventy-six million, three hundred fourteen thousand, eight hundred eighty".