8125761240 has 160 divisors (see below), whose sum is σ = 27351324000. Its totient is φ = 2163718656.

The previous prime is 8125761233. The next prime is 8125761247. The reversal of 8125761240 is 421675218.

8125761240 is a `hidden beast` number, since 81 + 2 + 576 + 1 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8125761233) and next prime (8125761247).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8125761195 and 8125761204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8125761247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2976196 + ... + 2978924.

It is an arithmetic number, because the mean of its divisors is an integer number (170945775).

Almost surely, 2^8125761240 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 8125761240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13675662000).

8125761240 is an abundant number, since it is smaller than the sum of its proper divisors (19225562760).

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

8125761240 is a wasteful number, since it uses less digits than its factorization.

8125761240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8125761240 is about 90143.0043874731. The cubic root of 8125761240 is about 2010.4256616882.

The spelling of 8125761240 in words is "eight billion, one hundred twenty-five million, seven hundred sixty-one thousand, two hundred forty".