887785920 has 504 divisors, whose sum is σ = 3699534384. Its totient is φ = 202051584.

The previous prime is 887785841. The next prime is 887785933. The reversal of 887785920 is 29587788.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3810124 + ... + 3810356.

It is an arithmetic number, because the mean of its divisors is an integer number (7340346).

Almost surely, 2^887785920 is an apocalyptic number.

887785920 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 887785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849767192).

887785920 is an abundant number, since it is smaller than the sum of its proper divisors (2811748464).

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

887785920 is a wasteful number, since it uses less digits than its factorization.

887785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The square root of 887785920 is about 29795.7366077766. The cubic root of 887785920 is about 961.1018598338.

The spelling of 887785920 in words is "eight hundred eighty-seven million, seven hundred eighty-five thousand, nine hundred twenty".