800396771328 has 1024 divisors, whose sum is σ = 3060117504000. Its totient is φ = 200658124800.

The previous prime is 800396771287. The next prime is 800396771341. The reversal of 800396771328 is 823177693008.

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is a congruent number.

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, 2111864643 + ... + 2111865021.

It is an arithmetic number, because the mean of its divisors is an integer number (2988396000).

Almost surely, 2^800396771328 is an apocalyptic number.

800396771328 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 800396771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530058752000).

800396771328 is an abundant number, since it is smaller than the sum of its proper divisors (2259720732672).

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

800396771328 is a wasteful number, since it uses less digits than its factorization.

800396771328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 800396771328 in words is "eight hundred billion, three hundred ninety-six million, seven hundred seventy-one thousand, three hundred twenty-eight".