77756959072 has 96 divisors (see below), whose sum is σ = 166049497152. Its totient is φ = 35629676544.

The previous prime is 77756959069. The next prime is 77756959103. The reversal of 77756959072 is 27095965777.

It is a super-2 number, since 2×77756959072² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77756958995 and 77756959013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60889698 + ... + 60890974.

It is an arithmetic number, because the mean of its divisors is an integer number (1729682262).

Almost surely, 2^77756959072 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 77756959072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83024748576).

77756959072 is an abundant number, since it is smaller than the sum of its proper divisors (88292538080).

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

77756959072 is a wasteful number, since it uses less digits than its factorization.

77756959072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 58344300, while the sum is 64.

The spelling of 77756959072 in words is "seventy-seven billion, seven hundred fifty-six million, nine hundred fifty-nine thousand, seventy-two".