87799552776 has 448 divisors, whose sum is σ = 273673209600. Its totient is φ = 26231122944.

The previous prime is 87799552739. The next prime is 87799552807. The reversal of 87799552776 is 67725599778.

87799552776 is a `hidden beast` number, since 8 + 7 + 7 + 9 + 95 + 527 + 7 + 6 = 666.

It is a super-2 number, since 2×87799552776² (a number of 23 digits) contains 22 as substring.

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

Its product of digits (466754400) is a multiple of the sum of its prime factors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 640872580 + ... + 640872716.

It is an arithmetic number, because the mean of its divisors is an integer number (610877700).

Almost surely, 2^87799552776 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 87799552776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136836604800).

87799552776 is an abundant number, since it is smaller than the sum of its proper divisors (185873656824).

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

87799552776 is a wasteful number, since it uses less digits than its factorization.

87799552776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its digits is 466754400, while the sum is 72.

The spelling of 87799552776 in words is "eighty-seven billion, seven hundred ninety-nine million, five hundred fifty-two thousand, seven hundred seventy-six".