7722086400 has 1170 divisors, whose sum is σ = 35025862740. Its totient is φ = 1672151040.

The previous prime is 7722086399. The next prime is 7722086431. The reversal of 7722086400 is 46802277.

7722086400 is a `hidden beast` number, since 7 + 7 + 2 + 2 + 0 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 406425591 + ... + 406425609.

Almost surely, 2^7722086400 is an apocalyptic number.

7722086400 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 7722086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512931370).

7722086400 is an abundant number, since it is smaller than the sum of its proper divisors (27303776340).

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

7722086400 is a wasteful number, since it uses less digits than its factorization.

7722086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7722086400 is about 87875.4027017800. The cubic root of 7722086400 is about 1976.5670541152.

Adding to 7722086400 its reverse (46802277), we get a palindrome (7768888677).

The spelling of 7722086400 in words is "seven billion, seven hundred twenty-two million, eighty-six thousand, four hundred".