74230800 has 120 divisors (see below), whose sum is σ = 271786176. Its totient is φ = 16965120.

The previous prime is 74230759. The next prime is 74230811. The reversal of 74230800 is 803247.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3982 + ... + 12818.

Almost surely, 2^74230800 is an apocalyptic number.

74230800 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 74230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135893088).

74230800 is an abundant number, since it is smaller than the sum of its proper divisors (197555376).

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

74230800 is a wasteful number, since it uses less digits than its factorization.

74230800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8865 (or 8854 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 74230800 is about 8615.7298007772. The cubic root of 74230800 is about 420.2696680878.

The spelling of 74230800 in words is "seventy-four million, two hundred thirty thousand, eight hundred".