87952766772 has 96 divisors (see below), whose sum is σ = 232953275520. Its totient is φ = 25603706880.

The previous prime is 87952766767. The next prime is 87952766777. The reversal of 87952766772 is 27766725978.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87952766767) and next prime (87952766777).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87952766777) 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 31 ways as a sum of consecutive naturals, for example, 2236108 + ... + 2275100.

It is an arithmetic number, because the mean of its divisors is an integer number (2426596620).

Almost surely, 2^87952766772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87952766772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116476637760).

87952766772 is an abundant number, since it is smaller than the sum of its proper divisors (145000508748).

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

87952766772 is a wasteful number, since it uses less digits than its factorization.

87952766772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39793 (or 39791 counting only the distinct ones).

The product of its digits is 124467840, while the sum is 66.

The spelling of 87952766772 in words is "eighty-seven billion, nine hundred fifty-two million, seven hundred sixty-six thousand, seven hundred seventy-two".