77887234000 has 120 divisors (see below), whose sum is σ = 200062795608. Its totient is φ = 29322035200.

The previous prime is 77887233997. The next prime is 77887234013. The reversal of 77887234000 is 43278877.

It can be written as a sum of positive squares in 12 ways, for example, as 8269356096 + 69617877904 = 90936^2 + 263852^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510624 + ... + 645376.

Almost surely, 2^77887234000 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 77887234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100031397804).

77887234000 is an abundant number, since it is smaller than the sum of its proper divisors (122175561608).

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

77887234000 is a wasteful number, since it uses less digits than its factorization.

77887234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134810 (or 134777 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 46.

The spelling of 77887234000 in words is "seventy-seven billion, eight hundred eighty-seven million, two hundred thirty-four thousand".