74980080 has 480 divisors, whose sum is σ = 324979200. Its totient is φ = 15676416.

The previous prime is 74980079. The next prime is 74980117. The reversal of 74980080 is 8008947.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2585506 + ... + 2585534.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 2^74980080 is an apocalyptic number.

74980080 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 74980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

74980080 is an abundant number, since it is smaller than the sum of its proper divisors (249999120).

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

74980080 is a wasteful number, since it uses less digits than its factorization.

74980080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 74980080 is about 8659.1038797326. The cubic root of 74980080 is about 421.6789933923.

The spelling of 74980080 in words is "seventy-four million, nine hundred eighty thousand, eighty".