800526720 has 384 divisors, whose sum is σ = 3036303360. Its totient is φ = 178827264.

The previous prime is 800526679. The next prime is 800526737. The reversal of 800526720 is 27625008.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6303297 + ... + 6303423.

It is an arithmetic number, because the mean of its divisors is an integer number (7907040).

Almost surely, 2^800526720 is an apocalyptic number.

800526720 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 800526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518151680).

800526720 is an abundant number, since it is smaller than the sum of its proper divisors (2235776640).

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

800526720 is a wasteful number, since it uses less digits than its factorization.

800526720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 800526720 is about 28293.5808974403. The cubic root of 800526720 is about 928.5214568318.

The spelling of 800526720 in words is "eight hundred million, five hundred twenty-six thousand, seven hundred twenty".