74888120 has 64 divisors (see below), whose sum is σ = 178588800. Its totient is φ = 28183680.

The previous prime is 74888119. The next prime is 74888131. The reversal of 74888120 is 2188847.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160127 + ... + 160593.

It is an arithmetic number, because the mean of its divisors is an integer number (2790450).

Almost surely, 2^74888120 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 74888120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89294400).

74888120 is an abundant number, since it is smaller than the sum of its proper divisors (103700680).

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

74888120 is a wasteful number, since it uses less digits than its factorization.

74888120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 74888120 is about 8653.7922323106. The cubic root of 74888120 is about 421.5065321906.

The spelling of 74888120 in words is "seventy-four million, eight hundred eighty-eight thousand, one hundred twenty".