76124980 has 48 divisors (see below), whose sum is σ = 170338896. Its totient is φ = 28477440.

The previous prime is 76124977. The next prime is 76125041. The reversal of 76124980 is 8942167.

It can be written as a sum of positive squares in 8 ways, for example, as 1267876 + 74857104 = 1126^2 + 8652^2 .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 60922 + ... + 62158.

It is an arithmetic number, because the mean of its divisors is an integer number (3548727).

Almost surely, 2^76124980 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 76124980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85169448).

76124980 is an abundant number, since it is smaller than the sum of its proper divisors (94213916).

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

76124980 is a wasteful number, since it uses less digits than its factorization.

76124980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 76124980 is about 8724.9630371710. The cubic root of 76124980 is about 423.8144212787.

The spelling of 76124980 in words is "seventy-six million, one hundred twenty-four thousand, nine hundred eighty".