74827104 has 96 divisors (see below), whose sum is σ = 218090880. Its totient is φ = 22272000.

The previous prime is 74827097. The next prime is 74827121. The reversal of 74827104 is 40172847.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61704 + ... + 62904.

It is an arithmetic number, because the mean of its divisors is an integer number (2271780).

Almost surely, 2^74827104 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 74827104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109045440).

74827104 is an abundant number, since it is smaller than the sum of its proper divisors (143263776).

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

74827104 is a wasteful number, since it uses less digits than its factorization.

74827104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 74827104 is about 8650.2661230739. The cubic root of 74827104 is about 421.3920252408.

The spelling of 74827104 in words is "seventy-four million, eight hundred twenty-seven thousand, one hundred four".