7809009120 has 864 divisors, whose sum is σ = 32790925440. Its totient is φ = 1735603200.

The previous prime is 7809009119. The next prime is 7809009121. The reversal of 7809009120 is 219009087.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7809009119) and next prime (7809009121).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7809009121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 251903505 + ... + 251903535.

It is an arithmetic number, because the mean of its divisors is an integer number (37952460).

Almost surely, 2^7809009120 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 7809009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16395462720).

7809009120 is an abundant number, since it is smaller than the sum of its proper divisors (24981916320).

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

7809009120 is a wasteful number, since it uses less digits than its factorization.

7809009120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 7809009120 is about 88368.5980425173. The cubic root of 7809009120 is about 1983.9557281788.

The spelling of 7809009120 in words is "seven billion, eight hundred nine million, nine thousand, one hundred twenty".