7947120090 has 128 divisors (see below), whose sum is σ = 23503011840. Its totient is φ = 1674724608.

The previous prime is 7947120079. The next prime is 7947120091. The reversal of 7947120090 is 900217497.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (7947120091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3599767 + ... + 3601973.

It is an arithmetic number, because the mean of its divisors is an integer number (183617280).

Almost surely, 2^7947120090 is an apocalyptic number.

7947120090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7947120090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11751505920).

7947120090 is an abundant number, since it is smaller than the sum of its proper divisors (15555891750).

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

7947120090 is a wasteful number, since it uses less digits than its factorization.

7947120090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556.

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 7947120090 is about 89146.6213044555. The cubic root of 7947120090 is about 1995.5835956982.

The spelling of 7947120090 in words is "seven billion, nine hundred forty-seven million, one hundred twenty thousand, ninety".