849728880 has 800 divisors, whose sum is σ = 3992744448. Its totient is φ = 161740800.

The previous prime is 849728863. The next prime is 849728903. The reversal of 849728880 is 88827948.

849728880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6486415 + ... + 6486545.

Almost surely, 2^849728880 is an apocalyptic number.

849728880 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 849728880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996372224).

849728880 is an abundant number, since it is smaller than the sum of its proper divisors (3143015568).

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

849728880 is a wasteful number, since it uses less digits than its factorization.

849728880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 849728880 is about 29150.1094337568. The cubic root of 849728880 is about 947.1675114309.

The spelling of 849728880 in words is "eight hundred forty-nine million, seven hundred twenty-eight thousand, eight hundred eighty".