7282786800 has 120 divisors (see below), whose sum is σ = 23560567920. Its totient is φ = 1922816000.

The previous prime is 7282786799. The next prime is 7282786843. The reversal of 7282786800 is 86872827.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7282786800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91156 + ... + 151244.

It is an arithmetic number, because the mean of its divisors is an integer number (196338066).

Almost surely, 2^7282786800 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 7282786800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780283960).

7282786800 is an abundant number, since it is smaller than the sum of its proper divisors (16277781120).

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

7282786800 is a wasteful number, since it uses less digits than its factorization.

7282786800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60211 (or 60200 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 7282786800 is about 85339.2453681189. The cubic root of 7282786800 is about 1938.3514886552.

It can be divided in two parts, 728278 and 6800, that added together give a triangular number (735078 = T₁₂₁₂).

The spelling of 7282786800 in words is "seven billion, two hundred eighty-two million, seven hundred eighty-six thousand, eight hundred".