76997844 has 192 divisors, whose sum is σ = 255467520. Its totient is φ = 19474560.

The previous prime is 76997827. The next prime is 76997857. The reversal of 76997844 is 44879967.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390754 + ... + 390950.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 2^76997844 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 76997844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

76997844 is an abundant number, since it is smaller than the sum of its proper divisors (178469676).

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

76997844 is a wasteful number, since it uses less digits than its factorization.

76997844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 76997844 is about 8774.8415370307. The cubic root of 76997844 is about 425.4281157750.

It can be divided in two parts, 76997 and 844, that added together give a square (77841 = 279²).

The spelling of 76997844 in words is "seventy-six million, nine hundred ninety-seven thousand, eight hundred forty-four".