77630495580 has 384 divisors, whose sum is σ = 282445470720. Its totient is φ = 17710617600.

The previous prime is 77630495573. The next prime is 77630495633. The reversal of 77630495580 is 8559403677.

77630495580 is a `hidden beast` number, since 7 + 76 + 3 + 0 + 495 + 5 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8174635 + ... + 8184125.

It is an arithmetic number, because the mean of its divisors is an integer number (735535080).

Almost surely, 2^77630495580 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 77630495580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141222735360).

77630495580 is an abundant number, since it is smaller than the sum of its proper divisors (204814975140).

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

77630495580 is a wasteful number, since it uses less digits than its factorization.

77630495580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9549 (or 9529 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 77630495580 in words is "seventy-seven billion, six hundred thirty million, four hundred ninety-five thousand, five hundred eighty".