76415860 has 36 divisors (see below), whose sum is σ = 162618372. Its totient is φ = 30161536.

The previous prime is 76415851. The next prime is 76415861. The reversal of 76415860 is 6851467.

76415860 = T₇₁₃₆ + T₇₁₃₇ + T₇₁₃₈.

It can be written as a sum of positive squares in 2 ways, for example, as 36144144 + 40271716 = 6012^2 + 6346^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76415861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457497 + ... + 457663.

It is an arithmetic number, because the mean of its divisors is an integer number (4517177).

Almost surely, 2^76415860 is an apocalyptic number.

76415860 is the 7138-th centered triangular number.

It is an amenable number.

76415860 is an abundant number, since it is smaller than the sum of its proper divisors (86202512).

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

76415860 is a wasteful number, since it uses less digits than its factorization.

76415860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 76415860 is about 8741.6165553060. The cubic root of 76415860 is about 424.3535454546.

The spelling of 76415860 in words is "seventy-six million, four hundred fifteen thousand, eight hundred sixty".