76384152 has 96 divisors (see below), whose sum is σ = 225825600. Its totient is φ = 23182848.

The previous prime is 76384151. The next prime is 76384159. The reversal of 76384152 is 25148367.

76384152 is a `hidden beast` number, since 7 + 638 + 4 + 15 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76384151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73428 + ... + 74460.

It is an arithmetic number, because the mean of its divisors is an integer number (2352350).

Almost surely, 2^76384152 is an apocalyptic number.

76384152 is a gapful number since it is divisible by the number (72) 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 76384152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112912800).

76384152 is an abundant number, since it is smaller than the sum of its proper divisors (149441448).

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

76384152 is a wasteful number, since it uses less digits than its factorization.

76384152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1130 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 76384152 is about 8739.8027437694. The cubic root of 76384152 is about 424.2948435756.

The spelling of 76384152 in words is "seventy-six million, three hundred eighty-four thousand, one hundred fifty-two".