830887680 has 144 divisors (see below), whose sum is σ = 3032838144. Its totient is φ = 189911040.

The previous prime is 830887669. The next prime is 830887693. The reversal of 830887680 is 86788038.

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

It is a congruent number.

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, 11425 + ... + 42335.

It is an arithmetic number, because the mean of its divisors is an integer number (21061376).

Almost surely, 2^830887680 is an apocalyptic number.

830887680 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 830887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516419072).

830887680 is an abundant number, since it is smaller than the sum of its proper divisors (2201950464).

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

830887680 is a wasteful number, since it uses less digits than its factorization.

830887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30942 (or 30928 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 830887680 is about 28825.1223761496. The cubic root of 830887680 is about 940.1145476825.

The spelling of 830887680 in words is "eight hundred thirty million, eight hundred eighty-seven thousand, six hundred eighty".