87819091878 has 256 divisors, whose sum is σ = 227293102080. Its totient is φ = 22034073600.

The previous prime is 87819091837. The next prime is 87819091883.

87819091878 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×87819091878³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127089513 + ... + 127090203.

It is an arithmetic number, because the mean of its divisors is an integer number (887863680).

Almost surely, 2^87819091878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87819091878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113646551040).

87819091878 is an abundant number, since it is smaller than the sum of its proper divisors (139474010202).

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

87819091878 is a wasteful number, since it uses less digits than its factorization.

87819091878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923.

The product of its (nonzero) digits is 16257024, while the sum is 66.

The spelling of 87819091878 in words is "eighty-seven billion, eight hundred nineteen million, ninety-one thousand, eight hundred seventy-eight".