76961808 has 180 divisors, whose sum is σ = 270996544. Its totient is φ = 19958400.

The previous prime is 76961791. The next prime is 76961821. The reversal of 76961808 is 80816967.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121653 + ... + 122283.

Almost surely, 2^76961808 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 76961808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135498272).

76961808 is an abundant number, since it is smaller than the sum of its proper divisors (194034736).

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

76961808 is a wasteful number, since it uses less digits than its factorization.

76961808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 76961808 is about 8772.7879263094. The cubic root of 76961808 is about 425.3617367741.

The spelling of 76961808 in words is "seventy-six million, nine hundred sixty-one thousand, eight hundred eight".