74827440 has 120 divisors (see below), whose sum is σ = 253986720. Its totient is φ = 19740672.

The previous prime is 74827429. The next prime is 74827471. The reversal of 74827440 is 4472847.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 74827395 and 74827404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73656 + ... + 74664.

It is an arithmetic number, because the mean of its divisors is an integer number (2116556).

Almost surely, 2^74827440 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 74827440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126993360).

74827440 is an abundant number, since it is smaller than the sum of its proper divisors (179159280).

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

74827440 is a wasteful number, since it uses less digits than its factorization.

74827440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 74827440 is about 8650.2855444199. The cubic root of 74827440 is about 421.3926559727.

The spelling of 74827440 in words is "seventy-four million, eight hundred twenty-seven thousand, four hundred forty".