76883961 has 32 divisors (see below), whose sum is σ = 128636928. Its totient is φ = 39680640.

The previous prime is 76883953. The next prime is 76883971. The reversal of 76883961 is 16938867.

It is not a de Polignac number, because 76883961 - 2³ = 76883953 is a prime.

It is a super-2 number, since 2×76883961² = 11822286918099042, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 76883961.

It is not an unprimeable number, because it can be changed into a prime (76883921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37581 + ... + 39573.

It is an arithmetic number, because the mean of its divisors is an integer number (4019904).

Almost surely, 2^76883961 is an apocalyptic number.

It is an amenable number.

76883961 is a deficient number, since it is larger than the sum of its proper divisors (51752967).

76883961 is a wasteful number, since it uses less digits than its factorization.

76883961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181.

The product of its digits is 435456, while the sum is 48.

The square root of 76883961 is about 8768.3499588007. The cubic root of 76883961 is about 425.2182703504.

The spelling of 76883961 in words is "seventy-six million, eight hundred eighty-three thousand, nine hundred sixty-one".