76382736 has 80 divisors (see below), whose sum is σ = 211266240. Its totient is φ = 23708160.

The previous prime is 76382711. The next prime is 76382741. The reversal of 76382736 is 63728367.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 54946 + ... + 56318.

It is an arithmetic number, because the mean of its divisors is an integer number (2640828).

Almost surely, 2^76382736 is an apocalyptic number.

76382736 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76382736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105633120).

76382736 is an abundant number, since it is smaller than the sum of its proper divisors (134883504).

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

76382736 is a wasteful number, since it uses less digits than its factorization.

76382736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1458 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 76382736 is about 8739.7217347007. The cubic root of 76382736 is about 424.2922217175.

The spelling of 76382736 in words is "seventy-six million, three hundred eighty-two thousand, seven hundred thirty-six".