76365936 has 80 divisors (see below), whose sum is σ = 224350720. Its totient is φ = 24857280.

The previous prime is 76365923. The next prime is 76365953. The reversal of 76365936 is 63956367.

76365936 is a `hidden beast` number, since 7 + 636 + 5 + 9 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76365891 and 76365900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16521 + ... + 20631.

It is an arithmetic number, because the mean of its divisors is an integer number (2804384).

Almost surely, 2^76365936 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 76365936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112175360).

76365936 is an abundant number, since it is smaller than the sum of its proper divisors (147984784).

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

76365936 is a wasteful number, since it uses less digits than its factorization.

76365936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4159 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The square root of 76365936 is about 8738.7605528473. The cubic root of 76365936 is about 424.2611124540.

The spelling of 76365936 in words is "seventy-six million, three hundred sixty-five thousand, nine hundred thirty-six".