76383720 has 192 divisors, whose sum is σ = 300568320. Its totient is φ = 16422912.

The previous prime is 76383707. The next prime is 76383733. The reversal of 76383720 is 2738367.

It is an interprime number because it is at equal distance from previous prime (76383707) and next prime (76383733).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41949 + ... + 43731.

It is an arithmetic number, because the mean of its divisors is an integer number (1565460).

Almost surely, 2^76383720 is an apocalyptic number.

76383720 is a gapful number since it is divisible by the number (70) 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 76383720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150284160).

76383720 is an abundant number, since it is smaller than the sum of its proper divisors (224184600).

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

76383720 is a wasteful number, since it uses less digits than its factorization.

76383720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 76383720 is about 8739.7780292179. The cubic root of 76383720 is about 424.2940436901.

The spelling of 76383720 in words is "seventy-six million, three hundred eighty-three thousand, seven hundred twenty".