87734880000 has 720 divisors, whose sum is σ = 338684586240. Its totient is φ = 22353408000.

The previous prime is 87734879957. The next prime is 87734880031. The reversal of 87734880000 is 8843778.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×87734880000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99359559 + ... + 99360441.

Almost surely, 2^87734880000 is an apocalyptic number.

87734880000 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 87734880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169342293120).

87734880000 is an abundant number, since it is smaller than the sum of its proper divisors (250949706240).

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

87734880000 is an equidigital number, since it uses as much as digits as its factorization.

87734880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 87734880000 in words is "eighty-seven billion, seven hundred thirty-four million, eight hundred eighty thousand".