74782656 has 112 divisors (see below), whose sum is σ = 236829600. Its totient is φ = 23003136.

The previous prime is 74782649. The next prime is 74782657. The reversal of 74782656 is 65628747.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74782657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20800 + ... + 24128.

It is an arithmetic number, because the mean of its divisors is an integer number (2114550).

Almost surely, 2^74782656 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 74782656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118414800).

74782656 is an abundant number, since it is smaller than the sum of its proper divisors (162046944).

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

74782656 is a wasteful number, since it uses less digits than its factorization.

74782656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3347 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 74782656 is about 8647.6965719202. The cubic root of 74782656 is about 421.3085717792.

The spelling of 74782656 in words is "seventy-four million, seven hundred eighty-two thousand, six hundred fifty-six".