87734440000 has 105 divisors (see below), whose sum is σ = 217699892641. Its totient is φ = 35070080000.

The previous prime is 87734439967. The next prime is 87734440007. The reversal of 87734440000 is 4443778.

It is a happy number.

The square root of 87734440000 is 296200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 72524644416 + 15209795584 = 269304^2 + 123328^2 .

It is a super-2 number, since 2×87734440000² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87734440007) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 59239260 + ... + 59240740.

Almost surely, 2^87734440000 is an apocalyptic number.

87734440000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87734440000 is the 296200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87734440000

87734440000 is an abundant number, since it is smaller than the sum of its proper divisors (129965452641).

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

87734440000 is an frugal number, since it uses more digits than its factorization.

87734440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

Adding to 87734440000 its reverse (4443778), we get a palindrome (87738883778).

The spelling of 87734440000 in words is "eighty-seven billion, seven hundred thirty-four million, four hundred forty thousand".