830496880 has 80 divisors (see below), whose sum is σ = 2027280960. Its totient is φ = 315797504.

The previous prime is 830496847. The next prime is 830496889. The reversal of 830496880 is 88694038.

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

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 830496880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830496889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317016 + ... + 319624.

It is an arithmetic number, because the mean of its divisors is an integer number (25341012).

Almost surely, 2^830496880 is an apocalyptic number.

830496880 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 830496880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013640480).

830496880 is an abundant number, since it is smaller than the sum of its proper divisors (1196784080).

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

830496880 is a wasteful number, since it uses less digits than its factorization.

830496880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 830496880 is about 28818.3427698402. The cubic root of 830496880 is about 939.9671333008.

The spelling of 830496880 in words is "eight hundred thirty million, four hundred ninety-six thousand, eight hundred eighty".