74789120 has 144 divisors (see below), whose sum is σ = 217219968. Its totient is φ = 24084480.

The previous prime is 74789101. The next prime is 74789131. The reversal of 74789120 is 2198747.

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, 152075 + ... + 152565.

It is an arithmetic number, because the mean of its divisors is an integer number (1508472).

Almost surely, 2^74789120 is an apocalyptic number.

74789120 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 74789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108609984).

74789120 is an abundant number, since it is smaller than the sum of its proper divisors (142430848).

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

74789120 is a wasteful number, since it uses less digits than its factorization.

74789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 74789120 is about 8648.0703049871. The cubic root of 74789120 is about 421.3207103341.

The spelling of 74789120 in words is "seventy-four million, seven hundred eighty-nine thousand, one hundred twenty".