74162880 has 168 divisors, whose sum is σ = 278398224. Its totient is φ = 17971200.

The previous prime is 74162873. The next prime is 74162897. The reversal of 74162880 is 8826147.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30510 + ... + 32850.

Almost surely, 2^74162880 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 74162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139199112).

74162880 is an abundant number, since it is smaller than the sum of its proper divisors (204235344).

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

74162880 is a wasteful number, since it uses less digits than its factorization.

74162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 74162880 is about 8611.7872709444. The cubic root of 74162880 is about 420.1414489557.

It can be divided in two parts, 7416 and 2880, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 74162880 in words is "seventy-four million, one hundred sixty-two thousand, eight hundred eighty".