76322736 has 200 divisors, whose sum is σ = 259269120. Its totient is φ = 21223296.

The previous prime is 76322711. The next prime is 76322737. The reversal of 76322736 is 63722367.

It is a super-3 number, since 3×76322736³ (a number of 25 digits) contains 333 as substring.

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

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 76322736.

It is not an unprimeable number, because it can be changed into a prime (76322737) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 426295 + ... + 426473.

Almost surely, 2^76322736 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 76322736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129634560).

76322736 is an abundant number, since it is smaller than the sum of its proper divisors (182946384).

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

76322736 is a wasteful number, since it uses less digits than its factorization.

76322736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 76322736 is about 8736.2884567761. The cubic root of 76322736 is about 424.1810962489.

The spelling of 76322736 in words is "seventy-six million, three hundred twenty-two thousand, seven hundred thirty-six".