87779766528 has 432 divisors, whose sum is σ = 277115381760. Its totient is φ = 27402375168.

The previous prime is 87779766521. The next prime is 87779766539. The reversal of 87779766528 is 82566797778.

87779766528 is a `hidden beast` number, since 8 + 7 + 7 + 7 + 97 + 6 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (87779766521) 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, 316894326 + ... + 316894602.

Almost surely, 2^87779766528 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 87779766528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138557690880).

87779766528 is an abundant number, since it is smaller than the sum of its proper divisors (189335615232).

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

87779766528 is a wasteful number, since it uses less digits than its factorization.

87779766528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 428 counting only the distinct ones).

The product of its digits is 497871360, while the sum is 72.

The spelling of 87779766528 in words is "eighty-seven billion, seven hundred seventy-nine million, seven hundred sixty-six thousand, five hundred twenty-eight".