76231200 has 144 divisors (see below), whose sum is σ = 259108416. Its totient is φ = 19430400.

The previous prime is 76231153. The next prime is 76231219. The reversal of 76231200 is 213267.

It is a happy number.

It is a super-2 number, since 2×76231200² = 11622391706880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54510 + ... + 55890.

It is an arithmetic number, because the mean of its divisors is an integer number (1799364).

Almost surely, 2^76231200 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 76231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129554208).

76231200 is an abundant number, since it is smaller than the sum of its proper divisors (182877216).

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

76231200 is a wasteful number, since it uses less digits than its factorization.

76231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 76231200 is about 8731.0480470560. The cubic root of 76231200 is about 424.0114509783.

Adding to 76231200 its reverse (213267), we get a palindrome (76444467).

The spelling of 76231200 in words is "seventy-six million, two hundred thirty-one thousand, two hundred".