74820240 has 320 divisors, whose sum is σ = 291409920. Its totient is φ = 17487360.

The previous prime is 74820227. The next prime is 74820269. The reversal of 74820240 is 4202847.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1116687 + ... + 1116753.

It is an arithmetic number, because the mean of its divisors is an integer number (910656).

Almost surely, 2^74820240 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 74820240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145704960).

74820240 is an abundant number, since it is smaller than the sum of its proper divisors (216589680).

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

74820240 is a wasteful number, since it uses less digits than its factorization.

74820240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 74820240 is about 8649.8693631754. The cubic root of 74820240 is about 421.3791398773.

The spelling of 74820240 in words is "seventy-four million, eight hundred twenty thousand, two hundred forty".