7720312400 has 60 divisors (see below), whose sum is σ = 18618829152. Its totient is φ = 3076341120.

The previous prime is 7720312393. The next prime is 7720312409. The reversal of 7720312400 is 42130277.

It is a super-4 number, since 4×7720312400⁴ (a number of 41 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7720312400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7720312409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68507 + ... + 141893.

Almost surely, 2^7720312400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7720312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9309414576).

7720312400 is an abundant number, since it is smaller than the sum of its proper divisors (10898516752).

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

7720312400 is a wasteful number, since it uses less digits than its factorization.

7720312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73668 (or 73657 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 7720312400 is about 87865.3082848971. The cubic root of 7720312400 is about 1976.4156831723.

Adding to 7720312400 its reverse (42130277), we get a palindrome (7762442677).

The spelling of 7720312400 in words is "seven billion, seven hundred twenty million, three hundred twelve thousand, four hundred".