7267906800 has 720 divisors, whose sum is σ = 31834962432. Its totient is φ = 1491609600.

The previous prime is 7267906769. The next prime is 7267906819. The reversal of 7267906800 is 86097627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43520317 + ... + 43520483.

Almost surely, 2^7267906800 is an apocalyptic number.

7267906800 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 7267906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15917481216).

7267906800 is an abundant number, since it is smaller than the sum of its proper divisors (24567055632).

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

7267906800 is a wasteful number, since it uses less digits than its factorization.

7267906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7267906800 is about 85252.0193309226. The cubic root of 7267906800 is about 1937.0304588168.

The spelling of 7267906800 in words is "seven billion, two hundred sixty-seven million, nine hundred six thousand, eight hundred".