805134368880 has 560 divisors, whose sum is σ = 2868072886944. Its totient is φ = 210041579520.

The previous prime is 805134368879. The next prime is 805134368897. The reversal of 805134368880 is 88863431508.

805134368880 is a `hidden beast` number, since 8 + 0 + 51 + 3 + 436 + 88 + 80 = 666.

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 111 ways as a sum of consecutive naturals, for example, 807556542 + ... + 807557538.

Almost surely, 2^805134368880 is an apocalyptic number.

805134368880 is a gapful number since it is divisible by the number (80) 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 805134368880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434036443472).

805134368880 is an abundant number, since it is smaller than the sum of its proper divisors (2062938518064).

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

805134368880 is a wasteful number, since it uses less digits than its factorization.

805134368880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 805134368880 in words is "eight hundred five billion, one hundred thirty-four million, three hundred sixty-eight thousand, eight hundred eighty".