7802970000 has 400 divisors, whose sum is σ = 29239140480. Its totient is φ = 1755648000.

The previous prime is 7802969987. The next prime is 7802970047. The reversal of 7802970000 is 792087.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15329746 + ... + 15330254.

Almost surely, 2^7802970000 is an apocalyptic number.

7802970000 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 7802970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619570240).

7802970000 is an abundant number, since it is smaller than the sum of its proper divisors (21436170480).

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

7802970000 is a wasteful number, since it uses less digits than its factorization.

7802970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 7802970000 is about 88334.4213769468. The cubic root of 7802970000 is about 1983.4441636314. Note that the first 3 decimals are identical.

The spelling of 7802970000 in words is "seven billion, eight hundred two million, nine hundred seventy thousand".