74058880 has 128 divisors (see below), whose sum is σ = 206415360. Its totient is φ = 24883200.

The previous prime is 74058871. The next prime is 74058883. The reversal of 74058880 is 8885047.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (74058883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273145 + ... + 273415.

It is an arithmetic number, because the mean of its divisors is an integer number (1612620).

Almost surely, 2^74058880 is an apocalyptic number.

74058880 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 74058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103207680).

74058880 is an abundant number, since it is smaller than the sum of its proper divisors (132356480).

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

74058880 is a wasteful number, since it uses less digits than its factorization.

74058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 74058880 is about 8605.7469170317. The cubic root of 74058880 is about 419.9449663341.

The spelling of 74058880 in words is "seventy-four million, fifty-eight thousand, eight hundred eighty".