882380400 has 360 divisors, whose sum is σ = 3190212480. Its totient is φ = 208243200.

The previous prime is 882380383. The next prime is 882380413. The reversal of 882380400 is 4083288.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8566749 + ... + 8566851.

Almost surely, 2^882380400 is an apocalyptic number.

882380400 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 882380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595106240).

882380400 is an abundant number, since it is smaller than the sum of its proper divisors (2307832080).

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

882380400 is a wasteful number, since it uses less digits than its factorization.

882380400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 882380400 is about 29704.8884865774. Note that the first 3 decimals coincide. The cubic root of 882380400 is about 959.1472462079.

The spelling of 882380400 in words is "eight hundred eighty-two million, three hundred eighty thousand, four hundred".