673835760 has 400 divisors, whose sum is σ = 2659308960. Its totient is φ = 156764160.

The previous prime is 673835737. The next prime is 673835777. The reversal of 673835760 is 67538376.

673835760 is a `hidden beast` number, since 6 + 73 + 8 + 3 + 576 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1600350 + ... + 1600770.

Almost surely, 2^673835760 is an apocalyptic number.

673835760 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 673835760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329654480).

673835760 is an abundant number, since it is smaller than the sum of its proper divisors (1985473200).

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

673835760 is a wasteful number, since it uses less digits than its factorization.

673835760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 673835760 is about 25958.3466345605. The cubic root of 673835760 is about 876.7006966474.

673835760 divided by its sum of digits (45) gives a triangular number (14974128 = T₅₄₇₂).

The spelling of 673835760 in words is "six hundred seventy-three million, eight hundred thirty-five thousand, seven hundred sixty".