8032720400 has 60 divisors (see below), whose sum is σ = 19316457492. Its totient is φ = 3210117120.

The previous prime is 8032720361. The next prime is 8032720417. The reversal of 8032720400 is 40272308.

It can be written as a sum of positive squares in 6 ways, for example, as 631215376 + 7401505024 = 25124^2 + 86032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8032720400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452492 + ... + 469908.

Almost surely, 2^8032720400 is an apocalyptic number.

8032720400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8032720400 is an abundant number, since it is smaller than the sum of its proper divisors (11283737092).

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

8032720400 is a wasteful number, since it uses less digits than its factorization.

8032720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18588 (or 18577 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 8032720400 is about 89625.4450477095. The cubic root of 8032720400 is about 2002.7229909776.

Adding to 8032720400 its reverse (40272308), we get a palindrome (8072992708).

The spelling of 8032720400 in words is "eight billion, thirty-two million, seven hundred twenty thousand, four hundred".