74436880 has 120 divisors (see below), whose sum is σ = 213354648. Its totient is φ = 23998464.

The previous prime is 74436871. The next prime is 74436907. The reversal of 74436880 is 8863447.

It can be written as a sum of positive squares in 4 ways, for example, as 2458624 + 71978256 = 1568^2 + 8484^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66082 + ... + 67198.

Almost surely, 2^74436880 is an apocalyptic number.

74436880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74436880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106677324).

74436880 is an abundant number, since it is smaller than the sum of its proper divisors (138917768).

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

74436880 is a wasteful number, since it uses less digits than its factorization.

74436880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 74436880 is about 8627.6810325834. The cubic root of 74436880 is about 420.6582271419.

The spelling of 74436880 in words is "seventy-four million, four hundred thirty-six thousand, eight hundred eighty".