7953120000 has 720 divisors, whose sum is σ = 33715207680. Its totient is φ = 1810944000.

The previous prime is 7953119983. The next prime is 7953120001. The reversal of 7953120000 is 213597.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7953120001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30239869 + ... + 30240131.

Almost surely, 2^7953120000 is an apocalyptic number.

7953120000 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 7953120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16857603840).

7953120000 is an abundant number, since it is smaller than the sum of its proper divisors (25762087680).

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

7953120000 is an equidigital number, since it uses as much as digits as its factorization.

7953120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 7953120000 is about 89180.2668755818. The cubic root of 7953120000 is about 1996.0856773704.

Adding to 7953120000 its reverse (213597), we get a palindrome (7953333597).

The spelling of 7953120000 in words is "seven billion, nine hundred fifty-three million, one hundred twenty thousand".