7997693760 has 504 divisors, whose sum is σ = 33200949600. Its totient is φ = 1827173376.

The previous prime is 7997693749. The next prime is 7997693789. The reversal of 7997693760 is 673967997.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3809191 + ... + 3811289.

It is an arithmetic number, because the mean of its divisors is an integer number (65874900).

Almost surely, 2^7997693760 is an apocalyptic number.

7997693760 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 7997693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16600474800).

7997693760 is an abundant number, since it is smaller than the sum of its proper divisors (25203255840).

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

7997693760 is a wasteful number, since it uses less digits than its factorization.

7997693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 27005076, while the sum is 63.

The square root of 7997693760 is about 89429.8258971804. The cubic root of 7997693760 is about 1999.8077948625.

The spelling of 7997693760 in words is "seven billion, nine hundred ninety-seven million, six hundred ninety-three thousand, seven hundred sixty".