849416880 has 80 divisors (see below), whose sum is σ = 2835756000. Its totient is φ = 209086464.

The previous prime is 849416879. The next prime is 849416903. The reversal of 849416880 is 88614948.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133005 + ... + 139244.

It is an arithmetic number, because the mean of its divisors is an integer number (35446950).

Almost surely, 2^849416880 is an apocalyptic number.

849416880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

849416880 is an abundant number, since it is smaller than the sum of its proper divisors (1986339120).

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

849416880 is a wasteful number, since it uses less digits than its factorization.

849416880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272278 (or 272272 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 849416880 is about 29144.7573330093. The cubic root of 849416880 is about 947.0515715327.

The spelling of 849416880 in words is "eight hundred forty-nine million, four hundred sixteen thousand, eight hundred eighty".