76330874880 has 480 divisors, whose sum is σ = 294680786400. Its totient is φ = 18786484224.

The previous prime is 76330874779. The next prime is 76330874881. The reversal of 76330874880 is 8847803367.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76330874881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10779181 + ... + 10786259.

It is an arithmetic number, because the mean of its divisors is an integer number (613918305).

Almost surely, 2^76330874880 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 76330874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147340393200).

76330874880 is an abundant number, since it is smaller than the sum of its proper divisors (218349911520).

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

76330874880 is a wasteful number, since it uses less digits than its factorization.

76330874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7102 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 76330874880 in words is "seventy-six billion, three hundred thirty million, eight hundred seventy-four thousand, eight hundred eighty".