76204152 has 80 divisors (see below), whose sum is σ = 222765840. Its totient is φ = 24292224.

The previous prime is 76204151. The next prime is 76204153. The reversal of 76204152 is 25140267.

It is an interprime number because it is at equal distance from previous prime (76204151) and next prime (76204153).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76204151) 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 19 ways as a sum of consecutive naturals, for example, 12348 + ... + 17460.

It is an arithmetic number, because the mean of its divisors is an integer number (2784573).

Almost surely, 2^76204152 is an apocalyptic number.

76204152 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 76204152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111382920).

76204152 is an abundant number, since it is smaller than the sum of its proper divisors (146561688).

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

76204152 is a wasteful number, since it uses less digits than its factorization.

76204152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 76204152 is about 8729.4989546938. The cubic root of 76204152 is about 423.9612964553.

The spelling of 76204152 in words is "seventy-six million, two hundred four thousand, one hundred fifty-two".