74216800 has 144 divisors (see below), whose sum is σ = 214673760. Its totient is φ = 24514560.

The previous prime is 74216777. The next prime is 74216803. The reversal of 74216800 is 861247.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74216803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162172 + ... + 162628.

It is an arithmetic number, because the mean of its divisors is an integer number (1490790).

Almost surely, 2^74216800 is an apocalyptic number.

74216800 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 74216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107336880).

74216800 is an abundant number, since it is smaller than the sum of its proper divisors (140456960).

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

74216800 is a wasteful number, since it uses less digits than its factorization.

74216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 74216800 is about 8614.9172950180. The cubic root of 74216800 is about 420.2432453393.

The spelling of 74216800 in words is "seventy-four million, two hundred sixteen thousand, eight hundred".