7960934400 has 144 divisors (see below), whose sum is σ = 26318237400. Its totient is φ = 2122874880.

The previous prime is 7960934383. The next prime is 7960934407. The reversal of 7960934400 is 44390697.

It is a super-2 number, since 2×7960934400² (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 (7960934407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 127686 + ... + 179514.

Almost surely, 2^7960934400 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 7960934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13159118700).

7960934400 is an abundant number, since it is smaller than the sum of its proper divisors (18357303000).

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

7960934400 is a wasteful number, since it uses less digits than its factorization.

7960934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51864 (or 51839 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 7960934400 is about 89224.0685017221. The cubic root of 7960934400 is about 1996.7392198791.

The spelling of 7960934400 in words is "seven billion, nine hundred sixty million, nine hundred thirty-four thousand, four hundred".