7821210516 has 96 divisors (see below), whose sum is σ = 21679042560. Its totient is φ = 2147969664.

The previous prime is 7821210499. The next prime is 7821210533. The reversal of 7821210516 is 6150121287.

It is an interprime number because it is at equal distance from previous prime (7821210499) and next prime (7821210533).

It is a super-2 number, since 2×7821210516² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242805 + ... + 273123.

It is an arithmetic number, because the mean of its divisors is an integer number (225823360).

Almost surely, 2^7821210516 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 7821210516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10839521280).

7821210516 is an abundant number, since it is smaller than the sum of its proper divisors (13857832044).

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

7821210516 is a wasteful number, since it uses less digits than its factorization.

7821210516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30453 (or 30451 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 7821210516 is about 88437.6080409234. The cubic root of 7821210516 is about 1984.9884854469.

The spelling of 7821210516 in words is "seven billion, eight hundred twenty-one million, two hundred ten thousand, five hundred sixteen".