809858880 has 336 divisors, whose sum is σ = 2951829504. Its totient is φ = 203489280.

The previous prime is 809858879. The next prime is 809858887. The reversal of 809858880 is 88858908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809858887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4196064 + ... + 4196256.

Almost surely, 2^809858880 is an apocalyptic number.

809858880 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 809858880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475914752).

809858880 is an abundant number, since it is smaller than the sum of its proper divisors (2141970624).

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

809858880 is a wasteful number, since it uses less digits than its factorization.

809858880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The square root of 809858880 is about 28458.0196078364. The cubic root of 809858880 is about 932.1156137468.

The spelling of 809858880 in words is "eight hundred nine million, eight hundred fifty-eight thousand, eight hundred eighty".