800088870240 has 768 divisors, whose sum is σ = 3166000266240. Its totient is φ = 187002224640.

The previous prime is 800088870221. The next prime is 800088870263. The reversal of 800088870240 is 42078880008.

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 127 ways as a sum of consecutive naturals, for example, 198679107 + ... + 198683133.

It is an arithmetic number, because the mean of its divisors is an integer number (4122396180).

Almost surely, 2^800088870240 is an apocalyptic number.

800088870240 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 800088870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583000133120).

800088870240 is an abundant number, since it is smaller than the sum of its proper divisors (2365911396000).

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

800088870240 is a wasteful number, since it uses less digits than its factorization.

800088870240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 800088870240 in words is "eight hundred billion, eighty-eight million, eight hundred seventy thousand, two hundred forty".