7720322400 has 648 divisors, whose sum is σ = 32185127520. Its totient is φ = 1736017920.

The previous prime is 7720322399. The next prime is 7720322419. The reversal of 7720322400 is 42230277.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27871062 + ... + 27871338.

Almost surely, 2^7720322400 is an apocalyptic number.

7720322400 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 7720322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16092563760).

7720322400 is an abundant number, since it is smaller than the sum of its proper divisors (24464805120).

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

7720322400 is a wasteful number, since it uses less digits than its factorization.

7720322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 7720322400 is about 87865.3651901590. The cubic root of 7720322400 is about 1976.4165365120.

Adding to 7720322400 its reverse (42230277), we get a palindrome (7762552677).

The spelling of 7720322400 in words is "seven billion, seven hundred twenty million, three hundred twenty-two thousand, four hundred".