74338880 has 168 divisors, whose sum is σ = 225161856. Its totient is φ = 23116800.

The previous prime is 74338871. The next prime is 74338889. The reversal of 74338880 is 8883347.

It is an interprime number because it is at equal distance from previous prime (74338871) and next prime (74338889).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74338889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172265 + ... + 172695.

Almost surely, 2^74338880 is an apocalyptic number.

74338880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

74338880 is the 7040-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112580928).

74338880 is an abundant number, since it is smaller than the sum of its proper divisors (150822976).

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

74338880 is a wasteful number, since it uses less digits than its factorization.

74338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 74338880 is about 8621.9997680353. Note that the first 3 decimals coincide. The cubic root of 74338880 is about 420.4735399684.

The spelling of 74338880 in words is "seventy-four million, three hundred thirty-eight thousand, eight hundred eighty".