7082812800 has 768 divisors, whose sum is σ = 30355200000. Its totient is φ = 1612154880.

The previous prime is 7082812787. The next prime is 7082812813. The reversal of 7082812800 is 82182807.

It is an interprime number because it is at equal distance from previous prime (7082812787) and next prime (7082812813).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29635081 + ... + 29635319.

It is an arithmetic number, because the mean of its divisors is an integer number (39525000).

Almost surely, 2^7082812800 is an apocalyptic number.

7082812800 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 7082812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177600000).

7082812800 is an abundant number, since it is smaller than the sum of its proper divisors (23272387200).

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

7082812800 is a wasteful number, since it uses less digits than its factorization.

7082812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 7082812800 is about 84159.4486673956. The cubic root of 7082812800 is about 1920.4452092570.

The spelling of 7082812800 in words is "seven billion, eighty-two million, eight hundred twelve thousand, eight hundred".