747882408 has 256 divisors, whose sum is σ = 2467584000. Its totient is φ = 183389184.

The previous prime is 747882383. The next prime is 747882413. The reversal of 747882408 is 804288747.

It is a happy number.

747882408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2780098 + ... + 2780366.

It is an arithmetic number, because the mean of its divisors is an integer number (9639000).

Almost surely, 2^747882408 is an apocalyptic number.

747882408 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 747882408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792000).

747882408 is an abundant number, since it is smaller than the sum of its proper divisors (1719701592).

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

747882408 is a wasteful number, since it uses less digits than its factorization.

747882408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The square root of 747882408 is about 27347.4387831841. The cubic root of 747882408 is about 907.7043970384.

The spelling of 747882408 in words is "seven hundred forty-seven million, eight hundred eighty-two thousand, four hundred eight".