7288070400 has 324 divisors, whose sum is σ = 28063725508. Its totient is φ = 1793802240.

The previous prime is 7288070381. The next prime is 7288070411. The reversal of 7288070400 is 40708827.

It can be written as a sum of positive squares in 6 ways, for example, as 118722816 + 7169347584 = 10896^2 + 84672^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 743934 + ... + 753666.

Almost surely, 2^7288070400 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 7288070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031862754).

7288070400 is an abundant number, since it is smaller than the sum of its proper divisors (20775655108).

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

7288070400 is a wasteful number, since it uses less digits than its factorization.

7288070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9778 (or 9756 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7288070400 is about 85370.1962045303. The cubic root of 7288070400 is about 1938.8201278590.

The spelling of 7288070400 in words is "seven billion, two hundred eighty-eight million, seventy thousand, four hundred".