76961007 has 6 divisors (see below), whose sum is σ = 111165912. Its totient is φ = 51307332.

The previous prime is 76960997. The next prime is 76961009. The reversal of 76961007 is 70016967.

It is not a de Polignac number, because 76961007 - 2¹⁵ = 76928239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76961009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4275603 + ... + 4275620.

It is an arithmetic number, because the mean of its divisors is an integer number (18527652).

Almost surely, 2^76961007 is an apocalyptic number.

76961007 is a deficient number, since it is larger than the sum of its proper divisors (34204905).

76961007 is a wasteful number, since it uses less digits than its factorization.

76961007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8551229 (or 8551226 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 76961007 is about 8772.7422736565. The cubic root of 76961007 is about 425.3602610814.

It can be divided in two parts, 769 and 61007, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 76961007 in words is "seventy-six million, nine hundred sixty-one thousand, seven".