882746400 has 144 divisors (see below), whose sum is σ = 2943749088. Its totient is φ = 229632000.

The previous prime is 882746387. The next prime is 882746467. The reversal of 882746400 is 4647288.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93915 + ... + 102885.

It is an arithmetic number, because the mean of its divisors is an integer number (20442702).

Almost surely, 2^882746400 is an apocalyptic number.

882746400 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 882746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471874544).

882746400 is an abundant number, since it is smaller than the sum of its proper divisors (2061002688).

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

882746400 is a wasteful number, since it uses less digits than its factorization.

882746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9035 (or 9022 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 882746400 is about 29711.0484500295. The cubic root of 882746400 is about 959.2798418423.

The spelling of 882746400 in words is "eight hundred eighty-two million, seven hundred forty-six thousand, four hundred".