76089808704 has 448 divisors, whose sum is σ = 254835818496. Its totient is φ = 19503783936.

The previous prime is 76089808681. The next prime is 76089808723. The reversal of 76089808704 is 40780898067.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×76089808704² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117603709 + ... + 117604355.

It is an arithmetic number, because the mean of its divisors is an integer number (568829952).

Almost surely, 2^76089808704 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 76089808704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127417909248).

76089808704 is an abundant number, since it is smaller than the sum of its proper divisors (178746009792).

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

76089808704 is a wasteful number, since it uses less digits than its factorization.

76089808704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 76089808704 in words is "seventy-six billion, eighty-nine million, eight hundred eight thousand, seven hundred four".