6735780 has 72 divisors (see below), whose sum is σ = 21333312. Its totient is φ = 1717056.

The previous prime is 6735763. The next prime is 6735811. The reversal of 6735780 is 875376.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3327 + ... + 4953.

It is an arithmetic number, because the mean of its divisors is an integer number (296296).

Almost surely, 2^6735780 is an apocalyptic number.

6735780 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 6735780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666656).

6735780 is an abundant number, since it is smaller than the sum of its proper divisors (14597532).

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

6735780 is a wasteful number, since it uses less digits than its factorization.

6735780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 6735780 is about 2595.3381282600. The cubic root of 6735780 is about 188.8553524980.

The spelling of 6735780 in words is "six million, seven hundred thirty-five thousand, seven hundred eighty".