87777805025800 has 96 divisors (see below), whose sum is σ = 211410042719400. Its totient is φ = 33869868032000.

The previous prime is 87777805025789. The next prime is 87777805025809. The reversal of 87777805025800 is 852050877778.

It can be written as a sum of positive squares in 12 ways, for example, as 631360554724 + 87146444471076 = 794582^2 + 9335226^2 .

It is a super-3 number, since 3×87777805025800³ (a number of 43 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87777805025809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59408461 + ... + 60868060.

Almost surely, 2^{87777805025800} is an apocalyptic number.

It is an amenable number.

87777805025800 is an abundant number, since it is smaller than the sum of its proper divisors (123632237693600).

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

87777805025800 is a wasteful number, since it uses less digits than its factorization.

87777805025800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120276667 (or 120276658 counting only the distinct ones).

The product of its (nonzero) digits is 61465600, while the sum is 64.

The spelling of 87777805025800 in words is "eighty-seven trillion, seven hundred seventy-seven billion, eight hundred five million, twenty-five thousand, eight hundred".