882666400 has 432 divisors, whose sum is σ = 2885440320. Its totient is φ = 260198400.

The previous prime is 882666361. The next prime is 882666419. The reversal of 882666400 is 4666288.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 9917556 + ... + 9917644.

It is an arithmetic number, because the mean of its divisors is an integer number (6679260).

Almost surely, 2^882666400 is an apocalyptic number.

882666400 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 882666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442720160).

882666400 is an abundant number, since it is smaller than the sum of its proper divisors (2002773920).

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

882666400 is a wasteful number, since it uses less digits than its factorization.

882666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 882666400 is about 29709.7021190048. The cubic root of 882666400 is about 959.2508623204.

The spelling of 882666400 in words is "eight hundred eighty-two million, six hundred sixty-six thousand, four hundred".