76986936 has 240 divisors, whose sum is σ = 252430200. Its totient is φ = 21835008.

The previous prime is 76986929. The next prime is 76986977. The reversal of 76986936 is 63968967.

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 59 ways as a sum of consecutive naturals, for example, 2080710 + ... + 2080746.

Almost surely, 2^76986936 is an apocalyptic number.

76986936 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76986936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126215100).

76986936 is an abundant number, since it is smaller than the sum of its proper divisors (175443264).

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

76986936 is a wasteful number, since it uses less digits than its factorization.

76986936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 74 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 76986936 is about 8774.2199653303. The cubic root of 76986936 is about 425.4080252166.

The spelling of 76986936 in words is "seventy-six million, nine hundred eighty-six thousand, nine hundred thirty-six".