76523200 has 126 divisors (see below), whose sum is σ = 204613764. Its totient is φ = 28154880.

The previous prime is 76523197. The next prime is 76523207. The reversal of 76523200 is 232567.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (76523207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 270259 + ... + 270541.

Almost surely, 2^76523200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102306882).

76523200 is an abundant number, since it is smaller than the sum of its proper divisors (128090564).

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

76523200 is a wasteful number, since it uses less digits than its factorization.

76523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 76523200 is about 8747.7539974556. The cubic root of 76523200 is about 424.5521464535.

Adding to 76523200 its reverse (232567), we get a palindrome (76755767).

The spelling of 76523200 in words is "seventy-six million, five hundred twenty-three thousand, two hundred".