87788257704 has 192 divisors, whose sum is σ = 298600200000. Its totient is φ = 23762180736.

The previous prime is 87788257699. The next prime is 87788257757. The reversal of 87788257704 is 40775288778.

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 47 ways as a sum of consecutive naturals, for example, 17179 + ... + 419370.

It is an arithmetic number, because the mean of its divisors is an integer number (1555209375).

Almost surely, 2^87788257704 is an apocalyptic number.

87788257704 is a gapful number since it is divisible by the number (84) 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 87788257704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149300100000).

87788257704 is an abundant number, since it is smaller than the sum of its proper divisors (210811942296).

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

87788257704 is a wasteful number, since it uses less digits than its factorization.

87788257704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436597 (or 436580 counting only the distinct ones).

The product of its (nonzero) digits is 49172480, while the sum is 63.

The spelling of 87788257704 in words is "eighty-seven billion, seven hundred eighty-eight million, two hundred fifty-seven thousand, seven hundred four".