8277295104 has 384 divisors, whose sum is σ = 27480660480. Its totient is φ = 2378170368.

The previous prime is 8277295099. The next prime is 8277295133. The reversal of 8277295104 is 4015927728.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×8277295104² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8277295104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65175489 + ... + 65175615.

It is an arithmetic number, because the mean of its divisors is an integer number (71564220).

Almost surely, 2^8277295104 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 8277295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740330240).

8277295104 is an abundant number, since it is smaller than the sum of its proper divisors (19203365376).

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

8277295104 is a wasteful number, since it uses less digits than its factorization.

8277295104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 8277295104 is about 90979.6411511938. The cubic root of 8277295104 is about 2022.8459626473.

The spelling of 8277295104 in words is "eight billion, two hundred seventy-seven million, two hundred ninety-five thousand, one hundred four".