7953072400 has 315 divisors, whose sum is σ = 24138427791. Its totient is φ = 2517016320.

The previous prime is 7953072373. The next prime is 7953072431. The reversal of 7953072400 is 42703597.

The square root of 7953072400 is 89180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2049916176 + 5903156224 = 45276^2 + 76832^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7953072400.

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 62 ways as a sum of consecutive naturals, for example, 611774794 + ... + 611774806.

Almost surely, 2^7953072400 is an apocalyptic number.

7953072400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7953072400 is the 89180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7953072400

7953072400 is an abundant number, since it is smaller than the sum of its proper divisors (16185355391).

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

7953072400 is an frugal number, since it uses more digits than its factorization.

7953072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The cubic root of 7953072400 is about 1996.0816951233.

Adding to 7953072400 its reverse (42703597), we get a palindrome (7995775997).

The spelling of 7953072400 in words is "seven billion, nine hundred fifty-three million, seventy-two thousand, four hundred".