7945697760 has 768 divisors, whose sum is σ = 35115171840. Its totient is φ = 1455759360.

The previous prime is 7945697743. The next prime is 7945697777. The reversal of 7945697760 is 677965497.

It is an interprime number because it is at equal distance from previous prime (7945697743) and next prime (7945697777).

It is a super-2 number, since 2×7945697760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 7945697694 and 7945697703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11050681 + ... + 11051399.

It is an arithmetic number, because the mean of its divisors is an integer number (45722880).

Almost surely, 2^7945697760 is an apocalyptic number.

7945697760 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 7945697760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557585920).

7945697760 is an abundant number, since it is smaller than the sum of its proper divisors (27169474080).

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

7945697760 is a wasteful number, since it uses less digits than its factorization.

7945697760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 60.

The square root of 7945697760 is about 89138.6434718411. The cubic root of 7945697760 is about 1995.4645358907.

The spelling of 7945697760 in words is "seven billion, nine hundred forty-five million, six hundred ninety-seven thousand, seven hundred sixty".