76403736 has 80 divisors (see below), whose sum is σ = 215651040. Its totient is φ = 25272000.

The previous prime is 76403689. The next prime is 76403783. The reversal of 76403736 is 63730467.

76403736 is a `hidden beast` number, since 7 + 640 + 3 + 7 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (76403689) and next prime (76403783).

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 76403736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101361 + ... + 102111.

It is an arithmetic number, because the mean of its divisors is an integer number (2695638).

Almost surely, 2^76403736 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 76403736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107825520).

76403736 is an abundant number, since it is smaller than the sum of its proper divisors (139247304).

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

76403736 is a wasteful number, since it uses less digits than its factorization.

76403736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 913 counting only the distinct ones).

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

The square root of 76403736 is about 8740.9230633841. The cubic root of 76403736 is about 424.3311018829.

The spelling of 76403736 in words is "seventy-six million, four hundred three thousand, seven hundred thirty-six".