74693880 has 256 divisors, whose sum is σ = 270950400. Its totient is φ = 18247680.

The previous prime is 74693867. The next prime is 74693887. The reversal of 74693880 is 8839647.

74693880 = 920² + 921² + ... + 1000².

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74693887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 769992 + ... + 770088.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^74693880 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 74693880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

74693880 is an abundant number, since it is smaller than the sum of its proper divisors (196256520).

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

74693880 is a wasteful number, since it uses less digits than its factorization.

74693880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 74693880 is about 8642.5621201123. The cubic root of 74693880 is about 421.1417911297.

The spelling of 74693880 in words is "seventy-four million, six hundred ninety-three thousand, eight hundred eighty".