7916160000 has 880 divisors, whose sum is σ = 32741519360. Its totient is φ = 1658880000.

The previous prime is 7916159983. The next prime is 7916160001. The reversal of 7916160000 is 616197.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 7916160000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7916160001) 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, 255359985 + ... + 255360015.

It is an arithmetic number, because the mean of its divisors is an integer number (37206272).

Almost surely, 2^7916160000 is an apocalyptic number.

7916160000 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 7916160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16370759680).

7916160000 is an abundant number, since it is smaller than the sum of its proper divisors (24825359360).

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

7916160000 is a wasteful number, since it uses less digits than its factorization.

7916160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 7916160000 is about 88972.8048338367. The cubic root of 7916160000 is about 1992.9887834757.

Adding to 7916160000 its reverse (616197), we get a palindrome (7916776197).

The spelling of 7916160000 in words is "seven billion, nine hundred sixteen million, one hundred sixty thousand".