7830721080 has 384 divisors, whose sum is σ = 31550238720. Its totient is φ = 1640217600.

The previous prime is 7830721079. The next prime is 7830721081. The reversal of 7830721080 is 801270387.

It is an interprime number because it is at equal distance from previous prime (7830721079) and next prime (7830721081).

It is a super-2 number, since 2×7830721080² (a number of 21 digits) contains 22 as substring.

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 (7830721081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4945969 + ... + 4947551.

It is an arithmetic number, because the mean of its divisors is an integer number (82162080).

Almost surely, 2^7830721080 is an apocalyptic number.

7830721080 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 7830721080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775119360).

7830721080 is an abundant number, since it is smaller than the sum of its proper divisors (23719517640).

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

7830721080 is a wasteful number, since it uses less digits than its factorization.

7830721080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7830721080 is about 88491.3616123065. The cubic root of 7830721080 is about 1985.7927391768.

The spelling of 7830721080 in words is "seven billion, eight hundred thirty million, seven hundred twenty-one thousand, eighty".