7932677760 has 256 divisors, whose sum is σ = 32108947200. Its totient is φ = 1813155840.

The previous prime is 7932677747. The next prime is 7932677791. The reversal of 7932677760 is 677762397.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7932677697 and 7932677706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88170 + ... + 153750.

It is an arithmetic number, because the mean of its divisors is an integer number (125425575).

Almost surely, 2^7932677760 is an apocalyptic number.

7932677760 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 7932677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16054473600).

7932677760 is an abundant number, since it is smaller than the sum of its proper divisors (24176269440).

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

7932677760 is a wasteful number, since it uses less digits than its factorization.

7932677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65616 (or 65598 counting only the distinct ones).

The product of its (nonzero) digits is 4667544, while the sum is 54.

The square root of 7932677760 is about 89065.5812309110. The cubic root of 7932677760 is about 1994.3740022474.

The spelling of 7932677760 in words is "seven billion, nine hundred thirty-two million, six hundred seventy-seven thousand, seven hundred sixty".