74882808 has 192 divisors, whose sum is σ = 272563200. Its totient is φ = 17936640.

The previous prime is 74882803. The next prime is 74882813. The reversal of 74882808 is 80828847.

It is an interprime number because it is at equal distance from previous prime (74882803) and next prime (74882813).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74882803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71553 + ... + 72591.

It is an arithmetic number, because the mean of its divisors is an integer number (1419600).

Almost surely, 2^74882808 is an apocalyptic number.

74882808 is a gapful number since it is divisible by the number (78) 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 74882808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136281600).

74882808 is an abundant number, since it is smaller than the sum of its proper divisors (197680392).

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

74882808 is a wasteful number, since it uses less digits than its factorization.

74882808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 74882808 is about 8653.4853093999. The cubic root of 74882808 is about 421.4965657872.

It can be divided in two parts, 7488 and 2808, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 74882808 in words is "seventy-four million, eight hundred eighty-two thousand, eight hundred eight".