7961797600 has 144 divisors (see below), whose sum is σ = 19960441200. Its totient is φ = 3100078080.

The previous prime is 7961797583. The next prime is 7961797609. The reversal of 7961797600 is 67971697.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7961797609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4769566 + ... + 4771234.

It is an arithmetic number, because the mean of its divisors is an integer number (138614175).

Almost surely, 2^7961797600 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 7961797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9980220600).

7961797600 is an abundant number, since it is smaller than the sum of its proper divisors (11998643600).

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

7961797600 is a wasteful number, since it uses less digits than its factorization.

7961797600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 52.

The square root of 7961797600 is about 89228.9056304066. The cubic root of 7961797600 is about 1996.8113857378.

The spelling of 7961797600 in words is "seven billion, nine hundred sixty-one million, seven hundred ninety-seven thousand, six hundred".