7944294400 has 156 divisors (see below), whose sum is σ = 22515682912. Its totient is φ = 2723512320.

The previous prime is 7944294353. The next prime is 7944294401. The reversal of 7944294400 is 44924497.

It is a super-2 number, since 2×7944294400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7944294401) 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, 711259 + ... + 722341.

Almost surely, 2^7944294400 is an apocalyptic number.

7944294400 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 7944294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11257841456).

7944294400 is an abundant number, since it is smaller than the sum of its proper divisors (14571388512).

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

7944294400 is a wasteful number, since it uses less digits than its factorization.

7944294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11124 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 7944294400 is about 89130.7713418884. The cubic root of 7944294400 is about 1995.3470500899.

The spelling of 7944294400 in words is "seven billion, nine hundred forty-four million, two hundred ninety-four thousand, four hundred".