76106953 has 24 divisors (see below), whose sum is σ = 86668800. Its totient is φ = 66718080.

The previous prime is 76106929. The next prime is 76106983. The reversal of 76106953 is 35960167.

76106953 is a nontrivial binomial coefficient, being equal to C(12338, 2).

It is not a de Polignac number, because 76106953 - 2⁹ = 76106441 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76106983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382348 + ... + 382546.

It is an arithmetic number, because the mean of its divisors is an integer number (3611200).

Almost surely, 2^76106953 is an apocalyptic number.

76106953 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

76106953 is the 12337-th triangular number and also the 6169-th hexagonal number.

76106953 is the 4113-rd centered nonagonal number.

It is an amenable number.

76106953 is a deficient number, since it is larger than the sum of its proper divisors (10561847).

76106953 is a wasteful number, since it uses less digits than its factorization.

76106953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 76106953 is about 8723.9299057248. The cubic root of 76106953 is about 423.7809644304.

The spelling of 76106953 in words is "seventy-six million, one hundred six thousand, nine hundred fifty-three".