800354934720 has 1680 divisors, whose sum is σ = 3375141986304. Its totient is φ = 178188595200.

The previous prime is 800354934719. The next prime is 800354934773. The reversal of 800354934720 is 27439453008.

800354934720 is a `hidden beast` number, since 8 + 0 + 0 + 3 + 549 + 34 + 72 + 0 = 666.

It is a super-2 number, since 2×800354934720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6302007297 + ... + 6302007423.

Almost surely, 2^800354934720 is an apocalyptic number.

800354934720 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 800354934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687570993152).

800354934720 is an abundant number, since it is smaller than the sum of its proper divisors (2574787051584).

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

800354934720 is a wasteful number, since it uses less digits than its factorization.

800354934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 800354934720 in words is "eight hundred billion, three hundred fifty-four million, nine hundred thirty-four thousand, seven hundred twenty".