77295916764 has 192 divisors, whose sum is σ = 223345382400. Its totient is φ = 22921113600.

The previous prime is 77295916757. The next prime is 77295916769. The reversal of 77295916764 is 46761959277.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77295916769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11552332 + ... + 11559020.

It is an arithmetic number, because the mean of its divisors is an integer number (1163257200).

Almost surely, 2^77295916764 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 77295916764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111672691200).

77295916764 is an abundant number, since it is smaller than the sum of its proper divisors (146049465636).

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

77295916764 is a wasteful number, since it uses less digits than its factorization.

77295916764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6921 (or 6913 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The spelling of 77295916764 in words is "seventy-seven billion, two hundred ninety-five million, nine hundred sixteen thousand, seven hundred sixty-four".