87759680 has 56 divisors (see below), whose sum is σ = 214106760. Its totient is φ = 34242560.

The previous prime is 87759677. The next prime is 87759709. The reversal of 87759680 is 8695778.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4293184 + 83466496 = 2072^2 + 9136^2 .

It is a super-2 number, since 2×87759680² = 15403522867404800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9776 + ... + 16464.

It is an arithmetic number, because the mean of its divisors is an integer number (3823335).

Almost surely, 2^87759680 is an apocalyptic number.

87759680 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 87759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107053380).

87759680 is an abundant number, since it is smaller than the sum of its proper divisors (126347080).

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

87759680 is a wasteful number, since it uses less digits than its factorization.

87759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6747 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 50.

The square root of 87759680 is about 9368.0136635255. The cubic root of 87759680 is about 444.3907498096.

The spelling of 87759680 in words is "eighty-seven million, seven hundred fifty-nine thousand, six hundred eighty".