678759264 has 144 divisors (see below), whose sum is σ = 2051496720. Its totient is φ = 220631040.

The previous prime is 678759259. The next prime is 678759269. The reversal of 678759264 is 462957876.

It is an interprime number because it is at equal distance from previous prime (678759259) and next prime (678759269).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 678759264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678759269) 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, 317752 + ... + 319880.

It is an arithmetic number, because the mean of its divisors is an integer number (14246505).

Almost surely, 2^678759264 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 678759264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025748360).

678759264 is an abundant number, since it is smaller than the sum of its proper divisors (1372737456).

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

678759264 is a wasteful number, since it uses less digits than its factorization.

678759264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2175 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 678759264 is about 26053.0087321983. The cubic root of 678759264 is about 878.8307750037.

The spelling of 678759264 in words is "six hundred seventy-eight million, seven hundred fifty-nine thousand, two hundred sixty-four".