87882890760 has 640 divisors, whose sum is σ = 350598758400. Its totient is φ = 19321182720.

The previous prime is 87882890759. The next prime is 87882890783. The reversal of 87882890760 is 6709828878.

It is a super-3 number, since 3×87882890760³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 168035859 + ... + 168036381.

It is an arithmetic number, because the mean of its divisors is an integer number (547810560).

Almost surely, 2^87882890760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87882890760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175299379200).

87882890760 is an abundant number, since it is smaller than the sum of its proper divisors (262715867640).

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

87882890760 is a wasteful number, since it uses less digits than its factorization.

87882890760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 87882890760 in words is "eighty-seven billion, eight hundred eighty-two million, eight hundred ninety thousand, seven hundred sixty".