76931280 has 120 divisors (see below), whose sum is σ = 262884960. Its totient is φ = 20156160.

The previous prime is 76931263. The next prime is 76931321. The reversal of 76931280 is 8213967.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 41575 + ... + 43385.

It is an arithmetic number, because the mean of its divisors is an integer number (2190708).

Almost surely, 2^76931280 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 76931280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131442480).

76931280 is an abundant number, since it is smaller than the sum of its proper divisors (185953680).

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

76931280 is a wasteful number, since it uses less digits than its factorization.

76931280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 76931280 is about 8771.0478279394. The cubic root of 76931280 is about 425.3054874007.

The spelling of 76931280 in words is "seventy-six million, nine hundred thirty-one thousand, two hundred eighty".