73878800 has 60 divisors (see below), whose sum is σ = 178607616. Its totient is φ = 29366400.

The previous prime is 73878799. The next prime is 73878803. The reversal of 73878800 is 887837.

It is not an unprimeable number, because it can be changed into a prime (73878803) 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 11 ways as a sum of consecutive naturals, for example, 75917 + ... + 76883.

Almost surely, 2^73878800 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 73878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89303808).

73878800 is an abundant number, since it is smaller than the sum of its proper divisors (104728816).

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

73878800 is a wasteful number, since it uses less digits than its factorization.

73878800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 73878800 is about 8595.2777732892. The cubic root of 73878800 is about 419.6043136558.

The spelling of 73878800 in words is "seventy-three million, eight hundred seventy-eight thousand, eight hundred".