870819840 has 288 divisors, whose sum is σ = 3296311200. Its totient is φ = 210862080.

The previous prime is 870819793. The next prime is 870819871. The reversal of 870819840 is 48918078.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1013331 + ... + 1014189.

It is an arithmetic number, because the mean of its divisors is an integer number (11445525).

Almost surely, 2^870819840 is an apocalyptic number.

870819840 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 870819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648155600).

870819840 is an abundant number, since it is smaller than the sum of its proper divisors (2425491360).

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

870819840 is a wasteful number, since it uses less digits than its factorization.

870819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 870819840 is about 29509.6567245368. The cubic root of 870819840 is about 954.9400435665.

The spelling of 870819840 in words is "eight hundred seventy million, eight hundred nineteen thousand, eight hundred forty".