76512200 has 48 divisors (see below), whose sum is σ = 179058480. Its totient is φ = 30404160.

The previous prime is 76512199. The next prime is 76512209. The reversal of 76512200 is 221567.

It is not an unprimeable number, because it can be changed into a prime (76512209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31427 + ... + 33773.

It is an arithmetic number, because the mean of its divisors is an integer number (3730385).

Almost surely, 2^76512200 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 76512200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89529240).

76512200 is an abundant number, since it is smaller than the sum of its proper divisors (102546280).

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

76512200 is a wasteful number, since it uses less digits than its factorization.

76512200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 76512200 is about 8747.1252420438. The cubic root of 76512200 is about 424.5318027434.

Adding to 76512200 its reverse (221567), we get a palindrome (76733767).

The spelling of 76512200 in words is "seventy-six million, five hundred twelve thousand, two hundred".