76328513280 has 216 divisors, whose sum is σ = 265081209120. Its totient is φ = 20277780480.

The previous prime is 76328513279. The next prime is 76328513309. The reversal of 76328513280 is 8231582367.

76328513280 is a `hidden beast` number, since 7 + 632 + 8 + 5 + 1 + 3 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3086565 + ... + 3111195.

It is an arithmetic number, because the mean of its divisors is an integer number (1227227820).

Almost surely, 2^76328513280 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 76328513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132540604560).

76328513280 is an abundant number, since it is smaller than the sum of its proper divisors (188752695840).

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

76328513280 is a wasteful number, since it uses less digits than its factorization.

76328513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24927 (or 24910 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 76328513280 in words is "seventy-six billion, three hundred twenty-eight million, five hundred thirteen thousand, two hundred eighty".