76804200 has 240 divisors, whose sum is σ = 291677760. Its totient is φ = 18576000.

The previous prime is 76804183. The next prime is 76804201. The reversal of 76804200 is 240867.

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

It is not an unprimeable number, because it can be changed into a prime (76804201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 177985 + ... + 178415.

It is an arithmetic number, because the mean of its divisors is an integer number (1215324).

Almost surely, 2^76804200 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 76804200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145838880).

76804200 is an abundant number, since it is smaller than the sum of its proper divisors (214873560).

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

76804200 is a wasteful number, since it uses less digits than its factorization.

76804200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 76804200 is about 8763.8005454255. The cubic root of 76804200 is about 425.0711760839.

The spelling of 76804200 in words is "seventy-six million, eight hundred four thousand, two hundred".