76331766 has 48 divisors (see below), whose sum is σ = 178101504. Its totient is φ = 21364512.

The previous prime is 76331753. The next prime is 76331771. The reversal of 76331766 is 66713367.

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, 117655 + ... + 118301.

It is an arithmetic number, because the mean of its divisors is an integer number (3710448).

Almost surely, 2^76331766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76331766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89050752).

76331766 is an abundant number, since it is smaller than the sum of its proper divisors (101769738).

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

76331766 is a wasteful number, since it uses less digits than its factorization.

76331766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 712 counting only the distinct ones).

The product of its digits is 95256, while the sum is 39.

The square root of 76331766 is about 8736.8052513490. The cubic root of 76331766 is about 424.1978243540.

The spelling of 76331766 in words is "seventy-six million, three hundred thirty-one thousand, seven hundred sixty-six".