77576113120 has 192 divisors, whose sum is σ = 205618839552. Its totient is φ = 27412992000.

The previous prime is 77576113117. The next prime is 77576113123. The reversal of 77576113120 is 2131167577.

It is an interprime number because it is at equal distance from previous prime (77576113117) and next prime (77576113123).

It is a super-2 number, since 2×77576113120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77576113123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19553377 + ... + 19557343.

It is an arithmetic number, because the mean of its divisors is an integer number (1070931456).

Almost surely, 2^77576113120 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 77576113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102809419776).

77576113120 is an abundant number, since it is smaller than the sum of its proper divisors (128042726432).

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

77576113120 is a wasteful number, since it uses less digits than its factorization.

77576113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4305 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 40.

The spelling of 77576113120 in words is "seventy-seven billion, five hundred seventy-six million, one hundred thirteen thousand, one hundred twenty".