8275761600 has 336 divisors, whose sum is σ = 28890650880. Its totient is φ = 2068070400.

The previous prime is 8275761589. The next prime is 8275761601. The reversal of 8275761600 is 61675728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8275761601) 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, 9393160 + ... + 9394040.

It is an arithmetic number, because the mean of its divisors is an integer number (85984080).

Almost surely, 2^8275761600 is an apocalyptic number.

8275761600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8275761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445325440).

8275761600 is an abundant number, since it is smaller than the sum of its proper divisors (20614889280).

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

8275761600 is a wasteful number, since it uses less digits than its factorization.

8275761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 8275761600 is about 90971.2130291775. The cubic root of 8275761600 is about 2022.7210331898.

The spelling of 8275761600 in words is "eight billion, two hundred seventy-five million, seven hundred sixty-one thousand, six hundred".