801766867968 has 352 divisors, whose sum is σ = 2595502984320. Its totient is φ = 242472222720.

The previous prime is 801766867961. The next prime is 801766867969. The reversal of 801766867968 is 869768667108.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×801766867968² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 801766867896 and 801766867905.

It is not an unprimeable number, because it can be changed into a prime (801766867961) 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, 169396930 + ... + 169401662.

Almost surely, 2^801766867968 is an apocalyptic number.

801766867968 is a gapful number since it is divisible by the number (88) 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 801766867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297751492160).

801766867968 is an abundant number, since it is smaller than the sum of its proper divisors (1793736116352).

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

801766867968 is a wasteful number, since it uses less digits than its factorization.

801766867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5306 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 801766867968 in words is "eight hundred one billion, seven hundred sixty-six million, eight hundred sixty-seven thousand, nine hundred sixty-eight".