74638080 has 432 divisors, whose sum is σ = 306109440. Its totient is φ = 16588800.

The previous prime is 74638079. The next prime is 74638087. The reversal of 74638080 is 8083647.

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

It is not an unprimeable number, because it can be changed into a prime (74638087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2407665 + ... + 2407695.

Almost surely, 2^74638080 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 74638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153054720).

74638080 is an abundant number, since it is smaller than the sum of its proper divisors (231471360).

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

74638080 is a wasteful number, since it uses less digits than its factorization.

74638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 74638080 is about 8639.3333076112. Note that the first 4 decimals coincide. The cubic root of 74638080 is about 421.0368937977.

The spelling of 74638080 in words is "seventy-four million, six hundred thirty-eight thousand, eighty".