76396824 has 64 divisors (see below), whose sum is σ = 242534400. Its totient is φ = 21827232.

The previous prime is 76396813. The next prime is 76396829. The reversal of 76396824 is 42869367.

76396824 is a `hidden beast` number, since 7 + 639 + 6 + 8 + 2 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 76396824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76396829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23752 + ... + 26775.

It is an arithmetic number, because the mean of its divisors is an integer number (3789600).

Almost surely, 2^76396824 is an apocalyptic number.

It is an amenable number.

76396824 is an abundant number, since it is smaller than the sum of its proper divisors (166137576).

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

76396824 is a wasteful number, since it uses less digits than its factorization.

76396824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50549 (or 50539 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 76396824 is about 8740.5276728582. The cubic root of 76396824 is about 424.3183055408.

It can be divided in two parts, 76 and 396824, that added together give a square (396900 = 630²).

The spelling of 76396824 in words is "seventy-six million, three hundred ninety-six thousand, eight hundred twenty-four".