832200480 has 240 divisors, whose sum is σ = 2962907640. Its totient is φ = 219967488.

The previous prime is 832200461. The next prime is 832200497. The reversal of 832200480 is 84002238.

It can be written as a sum of positive squares in 4 ways, for example, as 746600976 + 85599504 = 27324^2 + 9252^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2034516 + ... + 2034924.

Almost surely, 2^832200480 is an apocalyptic number.

832200480 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 832200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481453820).

832200480 is an abundant number, since it is smaller than the sum of its proper divisors (2130707160).

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

832200480 is a wasteful number, since it uses less digits than its factorization.

832200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 832200480 is about 28847.8851911193. The cubic root of 832200480 is about 940.6094131845.

The spelling of 832200480 in words is "eight hundred thirty-two million, two hundred thousand, four hundred eighty".