76723200 has 330 divisors, whose sum is σ = 291775286. Its totient is φ = 19906560.

The previous prime is 76723181. The next prime is 76723211. The reversal of 76723200 is 232767.

It can be written as a sum of positive squares in 3 ways, for example, as 16257024 + 60466176 = 4032^2 + 7776^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2073582 + ... + 2073618.

Almost surely, 2^76723200 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 76723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145887643).

76723200 is an abundant number, since it is smaller than the sum of its proper divisors (215052086).

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

76723200 is a wasteful number, since it uses less digits than its factorization.

76723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 76723200 is about 8759.1780436294. The cubic root of 76723200 is about 424.9216926083.

Adding to 76723200 its reverse (232767), we get a palindrome (76955967).

The spelling of 76723200 in words is "seventy-six million, seven hundred twenty-three thousand, two hundred".