887628769920 has 768 divisors, whose sum is σ = 3308104800000. Its totient is φ = 218621804544.

The previous prime is 887628769891. The next prime is 887628769921. The reversal of 887628769920 is 29967826788.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (887628769921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1154263296 + ... + 1154264064.

It is an arithmetic number, because the mean of its divisors is an integer number (4307428125).

Almost surely, 2^887628769920 is an apocalyptic number.

887628769920 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 887628769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654052400000).

887628769920 is an abundant number, since it is smaller than the sum of its proper divisors (2420476030080).

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

887628769920 is a wasteful number, since it uses less digits than its factorization.

887628769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 887628769920 in words is "eight hundred eighty-seven billion, six hundred twenty-eight million, seven hundred sixty-nine thousand, nine hundred twenty".