73800768 has 56 divisors (see below), whose sum is σ = 198213472. Its totient is φ = 24228864.

The previous prime is 73800719. The next prime is 73800781. The reversal of 73800768 is 86700837.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9996 + ... + 15732.

Almost surely, 2^73800768 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 73800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99106736).

73800768 is an abundant number, since it is smaller than the sum of its proper divisors (124412704).

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

73800768 is a wasteful number, since it uses less digits than its factorization.

73800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 73800768 is about 8590.7373373885. The cubic root of 73800768 is about 419.4565306278.

The spelling of 73800768 in words is "seventy-three million, eight hundred thousand, seven hundred sixty-eight".