76289402880 has 1152 divisors, whose sum is σ = 302218076160. Its totient is φ = 18393661440.

The previous prime is 76289402873. The next prime is 76289402881. The reversal of 76289402880 is 8820498267.

76289402880 is a `hidden beast` number, since 7 + 628 + 9 + 4 + 0 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (76289402881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1774172139 + ... + 1774172181.

It is an arithmetic number, because the mean of its divisors is an integer number (262342080).

Almost surely, 2^76289402880 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 76289402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151109038080).

76289402880 is an abundant number, since it is smaller than the sum of its proper divisors (225928673280).

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

76289402880 is a wasteful number, since it uses less digits than its factorization.

76289402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 76289402880 in words is "seventy-six billion, two hundred eighty-nine million, four hundred two thousand, eight hundred eighty".