87727788640 has 96 divisors (see below), whose sum is σ = 223725862080. Its totient is φ = 32407947264.

The previous prime is 87727788637. The next prime is 87727788661. The reversal of 87727788640 is 4688772778.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304299 + ... + 517738.

It is an arithmetic number, because the mean of its divisors is an integer number (2330477730).

Almost surely, 2^87727788640 is an apocalyptic number.

87727788640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87727788640 is an abundant number, since it is smaller than the sum of its proper divisors (135998073440).

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

87727788640 is a wasteful number, since it uses less digits than its factorization.

87727788640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822104 (or 822096 counting only the distinct ones).

The product of its (nonzero) digits is 59006976, while the sum is 64.

The spelling of 87727788640 in words is "eighty-seven billion, seven hundred twenty-seven million, seven hundred eighty-eight thousand, six hundred forty".