76823136 has 216 divisors, whose sum is σ = 253444464. Its totient is φ = 21934080.

The previous prime is 76823113. The next prime is 76823141. The reversal of 76823136 is 63132867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 76823136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1081981 + ... + 1082051.

It is an arithmetic number, because the mean of its divisors is an integer number (1173354).

Almost surely, 2^76823136 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 76823136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126722232).

76823136 is an abundant number, since it is smaller than the sum of its proper divisors (176621328).

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

76823136 is a wasteful number, since it uses less digits than its factorization.

76823136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 76823136 is about 8764.8808320479. The cubic root of 76823136 is about 425.1061068402.

The spelling of 76823136 in words is "seventy-six million, eight hundred twenty-three thousand, one hundred thirty-six".