607279680 has 280 divisors, whose sum is σ = 2469538368. Its totient is φ = 138765312.

The previous prime is 607279643. The next prime is 607279681. The reversal of 607279680 is 86972706.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-3 number, since 3×607279680³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (607279681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179767 + ... + 183113.

Almost surely, 2^607279680 is an apocalyptic number.

607279680 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 607279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234769184).

607279680 is an abundant number, since it is smaller than the sum of its proper divisors (1862258688).

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

607279680 is a wasteful number, since it uses less digits than its factorization.

607279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 607279680 is about 24643.0452663627. The cubic root of 607279680 is about 846.8300288933.

It can be divided in two parts, 60727 and 9680, that added together give a palindrome (70407).

The spelling of 607279680 in words is "six hundred seven million, two hundred seventy-nine thousand, six hundred eighty".