76286980 has 48 divisors (see below), whose sum is σ = 199737216. Its totient is φ = 23777280.

The previous prime is 76286963. The next prime is 76286989. The reversal of 76286980 is 8968267.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76286980.

It is not an unprimeable number, because it can be changed into a prime (76286989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23229 + ... + 26308.

It is an arithmetic number, because the mean of its divisors is an integer number (4161192).

Almost surely, 2^76286980 is an apocalyptic number.

76286980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76286980 is an abundant number, since it is smaller than the sum of its proper divisors (123450236).

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

76286980 is a wasteful number, since it uses less digits than its factorization.

76286980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49564 (or 49562 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 76286980 is about 8734.2418102546. The cubic root of 76286980 is about 424.1148451806.

The spelling of 76286980 in words is "seventy-six million, two hundred eighty-six thousand, nine hundred eighty".