891378800 has 240 divisors, whose sum is σ = 2499215040. Its totient is φ = 302776320.

The previous prime is 891378791. The next prime is 891378809. The reversal of 891378800 is 8873198.

It is an interprime number because it is at equal distance from previous prime (891378791) and next prime (891378809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (891378809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3468272 + ... + 3468528.

It is an arithmetic number, because the mean of its divisors is an integer number (10413396).

Almost surely, 2^891378800 is an apocalyptic number.

891378800 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 891378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249607520).

891378800 is an abundant number, since it is smaller than the sum of its proper divisors (1607836240).

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

891378800 is a wasteful number, since it uses less digits than its factorization.

891378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The square root of 891378800 is about 29855.9675776887. The cubic root of 891378800 is about 962.3966448866.

The spelling of 891378800 in words is "eight hundred ninety-one million, three hundred seventy-eight thousand, eight hundred".