7285788000 has 480 divisors, whose sum is σ = 27113486400. Its totient is φ = 1916006400.

The previous prime is 7285787969. The next prime is 7285788019. The reversal of 7285788000 is 8875827.

It is a happy number.

7285788000 is a `hidden beast` number, since 72 + 8 + 578 + 8 + 0 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 36611901 + ... + 36612099.

It is an arithmetic number, because the mean of its divisors is an integer number (56486430).

Almost surely, 2^7285788000 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 7285788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13556743200).

7285788000 is an abundant number, since it is smaller than the sum of its proper divisors (19827698400).

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

7285788000 is a wasteful number, since it uses less digits than its factorization.

7285788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 7285788000 is about 85356.8274949345. The cubic root of 7285788000 is about 1938.6177137384.

The spelling of 7285788000 in words is "seven billion, two hundred eighty-five million, seven hundred eighty-eight thousand".