832448880 has 80 divisors (see below), whose sum is σ = 2867331360. Its totient is φ = 221985792.

The previous prime is 832448873. The next prime is 832448887. The reversal of 832448880 is 88844238.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (832448873) and next prime (832448887).

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

It is a super-2 number, since 2×832448880² = 1385942275626508800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832448887) 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, 190537 + ... + 194856.

It is an arithmetic number, because the mean of its divisors is an integer number (35841642).

Almost surely, 2^832448880 is an apocalyptic number.

832448880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

832448880 is an abundant number, since it is smaller than the sum of its proper divisors (2034882480).

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

832448880 is a wasteful number, since it uses less digits than its factorization.

832448880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385415 (or 385403 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 832448880 is about 28852.1902114900. The cubic root of 832448880 is about 940.7029900493.

The spelling of 832448880 in words is "eight hundred thirty-two million, four hundred forty-eight thousand, eight hundred eighty".