76438152 has 96 divisors (see below), whose sum is σ = 243048000. Its totient is φ = 21244032.

The previous prime is 76438151. The next prime is 76438169. The reversal of 76438152 is 25183467.

76438152 is a `hidden beast` number, since 7 + 643 + 8 + 1 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (76438151) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16599 + ... + 20697.

It is an arithmetic number, because the mean of its divisors is an integer number (2531750).

Almost surely, 2^76438152 is an apocalyptic number.

76438152 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 76438152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121524000).

76438152 is an abundant number, since it is smaller than the sum of its proper divisors (166609848).

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

76438152 is a wasteful number, since it uses less digits than its factorization.

76438152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4148 counting only the distinct ones).

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

The square root of 76438152 is about 8742.8915125375. The cubic root of 76438152 is about 424.3948055173.

The spelling of 76438152 in words is "seventy-six million, four hundred thirty-eight thousand, one hundred fifty-two".