801456768 has 256 divisors, whose sum is σ = 2743392000. Its totient is φ = 228427776.

The previous prime is 801456763. The next prime is 801456791. The reversal of 801456768 is 867654108.

It is a happy number.

801456768 is a `hidden beast` number, since 80 + 1 + 4 + 567 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (801456763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959348 + ... + 1959756.

It is an arithmetic number, because the mean of its divisors is an integer number (10716375).

Almost surely, 2^801456768 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 801456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371696000).

801456768 is an abundant number, since it is smaller than the sum of its proper divisors (1941935232).

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

801456768 is an frugal number, since it uses more digits than its factorization.

801456768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 801456768 is about 28310.0117979488. The cubic root of 801456768 is about 928.8809015522.

The spelling of 801456768 in words is "eight hundred one million, four hundred fifty-six thousand, seven hundred sixty-eight".