801261000 has 192 divisors, whose sum is σ = 2868119280. Its totient is φ = 201062400.

The previous prime is 801260969. The next prime is 801261023. The reversal of 801261000 is 162108.

It can be written as a sum of positive squares in 8 ways, for example, as 201696804 + 599564196 = 14202^2 + 24486^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 150382 + ... + 155618.

Almost surely, 2^801261000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434059640).

801261000 is an abundant number, since it is smaller than the sum of its proper divisors (2066858280).

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

801261000 is a wasteful number, since it uses less digits than its factorization.

801261000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281 (or 5264 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 801261000 is about 28306.5540113946. The cubic root of 801261000 is about 928.8052642995.

The spelling of 801261000 in words is "eight hundred one million, two hundred sixty-one thousand".