886280400 has 240 divisors, whose sum is σ = 3182832000. Its totient is φ = 234224640.

The previous prime is 886280399. The next prime is 886280401. The reversal of 886280400 is 4082688.

It is an interprime number because it is at equal distance from previous prime (886280399) and next prime (886280401).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (886280401) 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, 1479301 + ... + 1479899.

It is an arithmetic number, because the mean of its divisors is an integer number (13261800).

Almost surely, 2^886280400 is an apocalyptic number.

886280400 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 886280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591416000).

886280400 is an abundant number, since it is smaller than the sum of its proper divisors (2296551600).

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

886280400 is a wasteful number, since it uses less digits than its factorization.

886280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 886280400 is about 29770.4618707873. The cubic root of 886280400 is about 960.5582690367.

The spelling of 886280400 in words is "eight hundred eighty-six million, two hundred eighty thousand, four hundred".