76959666 has 64 divisors (see below), whose sum is σ = 198201600. Its totient is φ = 21679488.

The previous prime is 76959647. The next prime is 76959689. The reversal of 76959666 is 66695967.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26200 + ... + 28988.

It is an arithmetic number, because the mean of its divisors is an integer number (3096900).

Almost surely, 2^76959666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76959666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99100800).

76959666 is an abundant number, since it is smaller than the sum of its proper divisors (121241934).

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

76959666 is a wasteful number, since it uses less digits than its factorization.

76959666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2874 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 76959666 is about 8772.6658434024. The cubic root of 76959666 is about 425.3577905168.

The spelling of 76959666 in words is "seventy-six million, nine hundred fifty-nine thousand, six hundred sixty-six".