7953620400 has 810 divisors, whose sum is σ = 32998760340. Its totient is φ = 1767744000.

The previous prime is 7953620347. The next prime is 7953620401. The reversal of 7953620400 is 40263597.

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

It is not an unprimeable number, because it can be changed into a prime (7953620401) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 256568385 + ... + 256568415.

Almost surely, 2^7953620400 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 7953620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499380170).

7953620400 is an abundant number, since it is smaller than the sum of its proper divisors (25045139940).

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

7953620400 is a wasteful number, since it uses less digits than its factorization.

7953620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 7953620400 is about 89183.0723848422. The cubic root of 7953620400 is about 1996.1275402001.

Adding to 7953620400 its reverse (40263597), we get a palindrome (7993883997).

The spelling of 7953620400 in words is "seven billion, nine hundred fifty-three million, six hundred twenty thousand, four hundred".