887323979624880 has 2560 divisors, whose sum is σ = 3499632649175040. Its totient is φ = 181528716902400.

The previous prime is 887323979624843. The next prime is 887323979624911. The reversal of 887323979624880 is 88426979323788.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 887323979624793 and 887323979624802.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1072943143027 + ... + 1072943143853.

It is an arithmetic number, because the mean of its divisors is an integer number (1367044003584).

Almost surely, 2^{887323979624880} is an apocalyptic number.

887323979624880 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 887323979624880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749816324587520).

887323979624880 is an abundant number, since it is smaller than the sum of its proper divisors (2612308669550160).

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

887323979624880 is a wasteful number, since it uses less digits than its factorization.

887323979624880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 14046068736, while the sum is 84.

The spelling of 887323979624880 in words is "eight hundred eighty-seven trillion, three hundred twenty-three billion, nine hundred seventy-nine million, six hundred twenty-four thousand, eight hundred eighty".