800427488880 has 160 divisors (see below), whose sum is σ = 2542805250048. Its totient is φ = 208162662400.

The previous prime is 800427488879. The next prime is 800427488891. The reversal of 800427488880 is 88884724008.

800427488880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 800427488880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28787785 + ... + 28815575.

Almost surely, 2^800427488880 is an apocalyptic number.

800427488880 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 800427488880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271402625024).

800427488880 is an abundant number, since it is smaller than the sum of its proper divisors (1742377761168).

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

800427488880 is a wasteful number, since it uses less digits than its factorization.

800427488880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30775 (or 30769 counting only the distinct ones).

The product of its (nonzero) digits is 7340032, while the sum is 57.

The spelling of 800427488880 in words is "eight hundred billion, four hundred twenty-seven million, four hundred eighty-eight thousand, eight hundred eighty".