76718790 has 96 divisors (see below), whose sum is σ = 216530496. Its totient is φ = 18769920.

The previous prime is 76718783. The next prime is 76718843. The reversal of 76718790 is 9781767.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 62119 + ... + 63341.

It is an arithmetic number, because the mean of its divisors is an integer number (2255526).

Almost surely, 2^76718790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76718790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108265248).

76718790 is an abundant number, since it is smaller than the sum of its proper divisors (139811706).

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

76718790 is a wasteful number, since it uses less digits than its factorization.

76718790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 76718790 is about 8758.9263040626. The cubic root of 76718790 is about 424.9135510441.

It can be divided in two parts, 7671 and 8790, that added together give a palindrome (16461).

The spelling of 76718790 in words is "seventy-six million, seven hundred eighteen thousand, seven hundred ninety".