7801290000 has 900 divisors, whose sum is σ = 33369052860. Its totient is φ = 1693440000.

The previous prime is 7801289981. The next prime is 7801290001. The reversal of 7801290000 is 921087.

It can be written as a sum of positive squares in 10 ways, for example, as 7456667904 + 344622096 = 86352^2 + 18564^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is not an unprimeable number, because it can be changed into a prime (7801290001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 127889970 + ... + 127890030.

Almost surely, 2^7801290000 is an apocalyptic number.

7801290000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7801290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684526430).

7801290000 is an abundant number, since it is smaller than the sum of its proper divisors (25567762860).

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

7801290000 is a wasteful number, since it uses less digits than its factorization.

7801290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 7801290000 is about 88324.9115482150. The cubic root of 7801290000 is about 1983.3018064962.

The spelling of 7801290000 in words is "seven billion, eight hundred one million, two hundred ninety thousand".