74880000 has 330 divisors, whose sum is σ = 290964674. Its totient is φ = 18432000.

The previous prime is 74879983. The next prime is 74880017. The reversal of 74880000 is 8847.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (74879983) and next prime (74880017).

It can be written as a sum of positive squares in 5 ways, for example, as 43877376 + 31002624 = 6624^2 + 5568^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5759994 + ... + 5760006.

Almost surely, 2^74880000 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 74880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145482337).

74880000 is an abundant number, since it is smaller than the sum of its proper divisors (216084674).

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

74880000 is a wasteful number, since it uses less digits than its factorization.

74880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 74880000 is about 8653.3230611136. The cubic root of 74880000 is about 421.4912972119.

Adding to 74880000 its reverse (8847), we get a palindrome (74888847).

The spelling of 74880000 in words is "seventy-four million, eight hundred eighty thousand".