801023827968 has 896 divisors, whose sum is σ = 3094075031040. Its totient is φ = 198747095040.

The previous prime is 801023827937. The next prime is 801023827997. The reversal of 801023827968 is 869728320108.

It is a happy number.

801023827968 is a `hidden beast` number, since 80 + 1 + 0 + 238 + 279 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 342170478 + ... + 342172818.

It is an arithmetic number, because the mean of its divisors is an integer number (3453208740).

Almost surely, 2^801023827968 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 801023827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547037515520).

801023827968 is an abundant number, since it is smaller than the sum of its proper divisors (2293051203072).

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

801023827968 is a wasteful number, since it uses less digits than its factorization.

801023827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 801023827968 in words is "eight hundred one billion, twenty-three million, eight hundred twenty-seven thousand, nine hundred sixty-eight".