887918400 has 252 divisors, whose sum is σ = 3182025132. Its totient is φ = 234823680.

The previous prime is 887918387. The next prime is 887918413. The reversal of 887918400 is 4819788.

It is an interprime number because it is at equal distance from previous prime (887918387) and next prime (887918413).

It can be written as a sum of positive squares in 6 ways, for example, as 26378496 + 861539904 = 5136^2 + 29352^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2836644 + ... + 2836956.

Almost surely, 2^887918400 is an apocalyptic number.

887918400 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 887918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591012566).

887918400 is an abundant number, since it is smaller than the sum of its proper divisors (2294106732).

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

887918400 is a wasteful number, since it uses less digits than its factorization.

887918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 887918400 is about 29797.9596616950. The cubic root of 887918400 is about 961.1496643170.

The spelling of 887918400 in words is "eight hundred eighty-seven million, nine hundred eighteen thousand, four hundred".