7722422400 has 768 divisors, whose sum is σ = 32832184320. Its totient is φ = 1548288000.

The previous prime is 7722422387. The next prime is 7722422401. The reversal of 7722422400 is 42242277.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7722422401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22915032 + ... + 22915368.

It is an arithmetic number, because the mean of its divisors is an integer number (42750240).

Almost surely, 2^7722422400 is an apocalyptic number.

7722422400 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 7722422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416092160).

7722422400 is an abundant number, since it is smaller than the sum of its proper divisors (25109761920).

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

7722422400 is a wasteful number, since it uses less digits than its factorization.

7722422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 7722422400 is about 87877.3144787664. The cubic root of 7722422400 is about 1976.5957215359.

Adding to 7722422400 its reverse (42242277), we get a palindrome (7764664677).

The spelling of 7722422400 in words is "seven billion, seven hundred twenty-two million, four hundred twenty-two thousand, four hundred".