87782551758 has 96 divisors (see below), whose sum is σ = 214441344000. Its totient is φ = 25711171200.

The previous prime is 87782551751. The next prime is 87782551819. The reversal of 87782551758 is 85715528778.

87782551758 is a `hidden beast` number, since 8 + 7 + 7 + 8 + 2 + 551 + 75 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 87782551695 and 87782551704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87782551751) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5264218 + ... + 5280866.

It is an arithmetic number, because the mean of its divisors is an integer number (2233764000).

Almost surely, 2^87782551758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87782551758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107220672000).

87782551758 is an abundant number, since it is smaller than the sum of its proper divisors (126658792242).

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

87782551758 is a wasteful number, since it uses less digits than its factorization.

87782551758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17558 (or 17555 counting only the distinct ones).

The product of its digits is 43904000, while the sum is 63.

The spelling of 87782551758 in words is "eighty-seven billion, seven hundred eighty-two million, five hundred fifty-one thousand, seven hundred fifty-eight".