7890261120 has 192 divisors, whose sum is σ = 31138511040. Its totient is φ = 1803479040.

The previous prime is 7890261107. The next prime is 7890261161. The reversal of 7890261120 is 211620987.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57526 + ... + 138165.

It is an arithmetic number, because the mean of its divisors is an integer number (162179745).

Almost surely, 2^7890261120 is an apocalyptic number.

7890261120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7890261120 is an abundant number, since it is smaller than the sum of its proper divisors (23248249920).

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

7890261120 is a wasteful number, since it uses less digits than its factorization.

7890261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195723 (or 195708 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 7890261120 is about 88827.1417979887. The cubic root of 7890261120 is about 1990.8129570713.

The spelling of 7890261120 in words is "seven billion, eight hundred ninety million, two hundred sixty-one thousand, one hundred twenty".