7811082720 has 480 divisors, whose sum is σ = 32602046400. Its totient is φ = 1723244544.

The previous prime is 7811082673. The next prime is 7811082731. The reversal of 7811082720 is 272801187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7811082720² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2629396 + ... + 2632364.

It is an arithmetic number, because the mean of its divisors is an integer number (67920930).

Almost surely, 2^7811082720 is an apocalyptic number.

7811082720 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 7811082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16301023200).

7811082720 is an abundant number, since it is smaller than the sum of its proper divisors (24790963680).

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

7811082720 is a wasteful number, since it uses less digits than its factorization.

7811082720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 7811082720 is about 88380.3299382843. The cubic root of 7811082720 is about 1984.1313188097.

The spelling of 7811082720 in words is "seven billion, eight hundred eleven million, eighty-two thousand, seven hundred twenty".