727776 has 108 divisors (see below), whose sum is σ = 2496312. Its totient is φ = 196992.

The previous prime is 727763. The next prime is 727777. The reversal of 727776 is 677727.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 727776.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 727776.

It is not an unprimeable number, because it can be changed into a prime (727777) by changing a digit.

727776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38295 + ... + 38313.

It is an arithmetic number, because the mean of its divisors is an integer number (23114).

2⁷²⁷⁷⁷⁶ is an apocalyptic number.

727776 is a gapful number since it is divisible by the number (76) 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 727776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248156).

727776 is an abundant number, since it is smaller than the sum of its proper divisors (1768536).

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

727776 is a wasteful number, since it uses less digits than its factorization.

727776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 31 counting only the distinct ones).

The product of its digits is 28812, while the sum is 36.

The square root of 727776 is about 853.0978841845. The cubic root of 727776 is about 89.9496014125.

The spelling of 727776 in words is "seven hundred twenty-seven thousand, seven hundred seventy-six".