87632777780757 has 48 divisors (see below), whose sum is σ = 147192119006400. Its totient is φ = 49651130457600.

The previous prime is 87632777780753. The next prime is 87632777780759. The reversal of 87632777780757 is 75708777723678.

87632777780757 is a `hidden beast` number, since 87 + 6 + 327 + 7 + 77 + 80 + 75 + 7 = 666.

It is not a de Polignac number, because 87632777780757 - 2² = 87632777780753 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87632777780753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174478719 + ... + 174980252.

It is an arithmetic number, because the mean of its divisors is an integer number (3066502479300).

Almost surely, 2^{87632777780757} is an apocalyptic number.

It is an amenable number.

87632777780757 is a deficient number, since it is larger than the sum of its proper divisors (59559341225643).

87632777780757 is a wasteful number, since it uses less digits than its factorization.

87632777780757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349459154 (or 349459151 counting only the distinct ones).

The product of its (nonzero) digits is 9487215360, while the sum is 81.

The spelling of 87632777780757 in words is "eighty-seven trillion, six hundred thirty-two billion, seven hundred seventy-seven million, seven hundred eighty thousand, seven hundred fifty-seven".