87737680 has 40 divisors (see below), whose sum is σ = 215992872. Its totient is φ = 33030144.

The previous prime is 87737653. The next prime is 87737681. The reversal of 87737680 is 8673778.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8456464 + 79281216 = 2908^2 + 8904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 87737680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87737681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30897 + ... + 33616.

Almost surely, 2^87737680 is an apocalyptic number.

87737680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87737680 is an abundant number, since it is smaller than the sum of its proper divisors (128255192).

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

87737680 is a wasteful number, since it uses less digits than its factorization.

87737680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64543 (or 64537 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 46.

The square root of 87737680 is about 9366.8393815630. The cubic root of 87737680 is about 444.3536127342.

The spelling of 87737680 in words is "eighty-seven million, seven hundred thirty-seven thousand, six hundred eighty".