849290880 has 256 divisors, whose sum is σ = 2945433600. Its totient is φ = 207360000.

The previous prime is 849290821. The next prime is 849290881. The reversal of 849290880 is 88092948.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (849290881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1130505 + ... + 1131255.

It is an arithmetic number, because the mean of its divisors is an integer number (11505600).

Almost surely, 2^849290880 is an apocalyptic number.

849290880 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 849290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472716800).

849290880 is an abundant number, since it is smaller than the sum of its proper divisors (2096142720).

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

849290880 is a wasteful number, since it uses less digits than its factorization.

849290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 849290880 is about 29142.5956290788. The cubic root of 849290880 is about 947.0047416028.

The spelling of 849290880 in words is "eight hundred forty-nine million, two hundred ninety thousand, eight hundred eighty".