87936840000 has 840 divisors, whose sum is σ = 333601588320. Its totient is φ = 22954752000.

The previous prime is 87936839953. The next prime is 87936840007. The reversal of 87936840000 is 4863978.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87936840007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 806759946 + ... + 806760054.

It is an arithmetic number, because the mean of its divisors is an integer number (397144748).

Almost surely, 2^87936840000 is an apocalyptic number.

87936840000 is a gapful number since it is divisible by the number (80) 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 87936840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166800794160).

87936840000 is an abundant number, since it is smaller than the sum of its proper divisors (245664748320).

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

87936840000 is an equidigital number, since it uses as much as digits as its factorization.

87936840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 87936840000 in words is "eighty-seven billion, nine hundred thirty-six million, eight hundred forty thousand".