74878080 has 128 divisors (see below), whose sum is σ = 243086400. Its totient is φ = 19599360.

The previous prime is 74878073. The next prime is 74878109. The reversal of 74878080 is 8087847.

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

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, 112950 + ... + 113610.

Almost surely, 2^74878080 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 74878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121543200).

74878080 is an abundant number, since it is smaller than the sum of its proper divisors (168208320).

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

74878080 is a wasteful number, since it uses less digits than its factorization.

74878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 74878080 is about 8653.2121203632. The cubic root of 74878080 is about 421.4876946913.

The spelling of 74878080 in words is "seventy-four million, eight hundred seventy-eight thousand, eighty".