887456839680 has 672 divisors, whose sum is σ = 3361173051600. Its totient is φ = 224163790848.

The previous prime is 887456839679. The next prime is 887456839697. The reversal of 887456839680 is 86938654788.

887456839680 is a `hidden beast` number, since 8 + 8 + 7 + 456 + 8 + 3 + 96 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 887456839599 and 887456839608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 141831112 + ... + 141837368.

Almost surely, 2^887456839680 is an apocalyptic number.

887456839680 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 887456839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680586525800).

887456839680 is an abundant number, since it is smaller than the sum of its proper divisors (2473716211920).

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

887456839680 is an equidigital number, since it uses as much as digits as its factorization.

887456839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6321 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 887456839680 in words is "eight hundred eighty-seven billion, four hundred fifty-six million, eight hundred thirty-nine thousand, six hundred eighty".