840883680 has 960 divisors, whose sum is σ = 3934199808. Its totient is φ = 164229120.

The previous prime is 840883639. The next prime is 840883691. The reversal of 840883680 is 86388048.

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

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, 27125265 + ... + 27125295.

Almost surely, 2^840883680 is an apocalyptic number.

840883680 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 840883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967099904).

840883680 is an abundant number, since it is smaller than the sum of its proper divisors (3093316128).

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

840883680 is a wasteful number, since it uses less digits than its factorization.

840883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 840883680 is about 28997.9944134073. The cubic root of 840883680 is about 943.8695477113.

The spelling of 840883680 in words is "eight hundred forty million, eight hundred eighty-three thousand, six hundred eighty".