76304736 has 72 divisors (see below), whose sum is σ = 221130000. Its totient is φ = 24950016.

The previous prime is 76304689. The next prime is 76304737. The reversal of 76304736 is 63740367.

It is a tau number, because it is divible by the number of its divisors (72).

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 76304736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76304737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12765 + ... + 17763.

It is an arithmetic number, because the mean of its divisors is an integer number (3071250).

Almost surely, 2^76304736 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 76304736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110565000).

76304736 is an abundant number, since it is smaller than the sum of its proper divisors (144825264).

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

76304736 is a wasteful number, since it uses less digits than its factorization.

76304736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5057 counting only the distinct ones).

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

The square root of 76304736 is about 8735.2582102649. The cubic root of 76304736 is about 424.1477472521.

The spelling of 76304736 in words is "seventy-six million, three hundred four thousand, seven hundred thirty-six".