76903200 has 216 divisors, whose sum is σ = 296137296. Its totient is φ = 18624000.

The previous prime is 76903187. The next prime is 76903207. The reversal of 76903200 is 230967.

It is not an unprimeable number, because it can be changed into a prime (76903207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78715 + ... + 79685.

It is an arithmetic number, because the mean of its divisors is an integer number (1371006).

Almost surely, 2^76903200 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 76903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148068648).

76903200 is an abundant number, since it is smaller than the sum of its proper divisors (219234096).

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

76903200 is a wasteful number, since it uses less digits than its factorization.

76903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 76903200 is about 8769.4469608978. The cubic root of 76903200 is about 425.2537354501.

The spelling of 76903200 in words is "seventy-six million, nine hundred three thousand, two hundred".