686795760 has 480 divisors, whose sum is σ = 2816486400. Its totient is φ = 155457792.

The previous prime is 686795737. The next prime is 686795779. The reversal of 686795760 is 67597686.

It is a happy number.

686795760 is a `hidden beast` number, since 6 + 8 + 67 + 9 + 576 + 0 = 666.

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 = 686795697 and 686795706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6667869 + ... + 6667971.

It is an arithmetic number, because the mean of its divisors is an integer number (5867680).

Almost surely, 2^686795760 is an apocalyptic number.

686795760 is a gapful number since it is divisible by the number (60) 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 686795760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408243200).

686795760 is an abundant number, since it is smaller than the sum of its proper divisors (2129690640).

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

686795760 is a wasteful number, since it uses less digits than its factorization.

686795760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 686795760 is about 26206.7884335338. The cubic root of 686795760 is about 882.2856217816.

The spelling of 686795760 in words is "six hundred eighty-six million, seven hundred ninety-five thousand, seven hundred sixty".