7822536120 has 160 divisors (see below), whose sum is σ = 30048559200. Its totient is φ = 1788003072.

The previous prime is 7822536107. The next prime is 7822536209. The reversal of 7822536120 is 216352287.

7822536120 is a `hidden beast` number, since 78 + 225 + 361 + 2 + 0 = 666.

It is a super-2 number, since 2×7822536120² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 149775 + ... + 195134.

It is an arithmetic number, because the mean of its divisors is an integer number (187803495).

Almost surely, 2^7822536120 is an apocalyptic number.

7822536120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7822536120 is an abundant number, since it is smaller than the sum of its proper divisors (22226023080).

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

7822536120 is a wasteful number, since it uses less digits than its factorization.

7822536120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344939 (or 344926 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7822536120 is about 88445.1022951526. The cubic root of 7822536120 is about 1985.1006232474.

The spelling of 7822536120 in words is "seven billion, eight hundred twenty-two million, five hundred thirty-six thousand, one hundred twenty".