76813776 has 120 divisors (see below), whose sum is σ = 237979560. Its totient is φ = 22975488.

The previous prime is 76813747. The next prime is 76813817. The reversal of 76813776 is 67731867.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 705600 + 76108176 = 840^2 + 8724^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68710 + ... + 69818.

It is an arithmetic number, because the mean of its divisors is an integer number (1983163).

Almost surely, 2^76813776 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 76813776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118989780).

76813776 is an abundant number, since it is smaller than the sum of its proper divisors (161165784).

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

76813776 is a wasteful number, since it uses less digits than its factorization.

76813776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1164 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 76813776 is about 8764.3468667095. The cubic root of 76813776 is about 425.0888414044.

The spelling of 76813776 in words is "seventy-six million, eight hundred thirteen thousand, seven hundred seventy-six".