73768800 has 144 divisors (see below), whose sum is σ = 274482432. Its totient is φ = 16857600.

The previous prime is 73768789. The next prime is 73768801. The reversal of 73768800 is 886737.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73768801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14605 + ... + 18995.

It is an arithmetic number, because the mean of its divisors is an integer number (1906128).

Almost surely, 2^73768800 is an apocalyptic number.

73768800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137241216).

73768800 is an abundant number, since it is smaller than the sum of its proper divisors (200713632).

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

73768800 is a wasteful number, since it uses less digits than its factorization.

73768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4408 counting only the distinct ones).

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

The square root of 73768800 is about 8588.8765272299. The cubic root of 73768800 is about 419.3959570803.

The spelling of 73768800 in words is "seventy-three million, seven hundred sixty-eight thousand, eight hundred".