76831776 has 144 divisors (see below), whose sum is σ = 260717184. Its totient is φ = 20984832.

The previous prime is 76831739. The next prime is 76831787. The reversal of 76831776 is 67713867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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, 45540 + ... + 47196.

It is an arithmetic number, because the mean of its divisors is an integer number (1810536).

Almost surely, 2^76831776 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 76831776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130358592).

76831776 is an abundant number, since it is smaller than the sum of its proper divisors (183885408).

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

76831776 is a wasteful number, since it uses less digits than its factorization.

76831776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1692 counting only the distinct ones).

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

The square root of 76831776 is about 8765.3736942586. The cubic root of 76831776 is about 425.1220429208.

The spelling of 76831776 in words is "seventy-six million, eight hundred thirty-one thousand, seven hundred seventy-six".