747805968 has 240 divisors, whose sum is σ = 2599833600. Its totient is φ = 195388416.

The previous prime is 747805957. The next prime is 747806023. The reversal of 747805968 is 869508747.

747805968 is a `hidden beast` number, since 7 + 47 + 8 + 0 + 596 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1952305 + ... + 1952687.

It is an arithmetic number, because the mean of its divisors is an integer number (10832640).

Almost surely, 2^747805968 is an apocalyptic number.

747805968 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 747805968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299916800).

747805968 is an abundant number, since it is smaller than the sum of its proper divisors (1852027632).

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

747805968 is a wasteful number, since it uses less digits than its factorization.

747805968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 747805968 is about 27346.0411760094. The cubic root of 747805968 is about 907.6734709252.

The spelling of 747805968 in words is "seven hundred forty-seven million, eight hundred five thousand, nine hundred sixty-eight".