6797750400 has 432 divisors, whose sum is σ = 28221940890. Its totient is φ = 1553448960.

The previous prime is 6797750369. The next prime is 6797750413. The reversal of 6797750400 is 40577976.

6797750400 is a `hidden beast` number, since 6 + 79 + 77 + 504 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3477225024 + 3320525376 = 58968^2 + 57624^2 .

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 53 ways as a sum of consecutive naturals, for example, 1408792 + ... + 1413608.

Almost surely, 2^6797750400 is an apocalyptic number.

6797750400 is a gapful number since it is divisible by the number (60) 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 6797750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14110970445).

6797750400 is an abundant number, since it is smaller than the sum of its proper divisors (21424190490).

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

6797750400 is a wasteful number, since it uses less digits than its factorization.

6797750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4861 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 6797750400 is about 82448.4711804895. The cubic root of 6797750400 is about 1894.3275322481.

The spelling of 6797750400 in words is "six billion, seven hundred ninety-seven million, seven hundred fifty thousand, four hundred".