892880400 has 240 divisors, whose sum is σ = 2964185280. Its totient is φ = 229632000.

The previous prime is 892880399. The next prime is 892880413. The reversal of 892880400 is 4088298.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6423531 + ... + 6423669.

It is an arithmetic number, because the mean of its divisors is an integer number (12350772).

Almost surely, 2^892880400 is an apocalyptic number.

892880400 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 892880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482092640).

892880400 is an abundant number, since it is smaller than the sum of its proper divisors (2071304880).

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

892880400 is a wasteful number, since it uses less digits than its factorization.

892880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 892880400 is about 29881.1043972608. The cubic root of 892880400 is about 962.9367534908.

The spelling of 892880400 in words is "eight hundred ninety-two million, eight hundred eighty thousand, four hundred".