736776 has 48 divisors (see below), whose sum is σ = 2074800. Its totient is φ = 244944.

The previous prime is 736741. The next prime is 736787. The reversal of 736776 is 677637.

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

It is a self number, because there is not a number n which added to its sum of digits gives 736776.

It is an unprimeable number.

736776 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 11 ways as a sum of consecutive naturals, for example, 1755 + ... + 2133.

It is an arithmetic number, because the mean of its divisors is an integer number (43225).

2⁷³⁶⁷⁷⁶ 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 736776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037400).

736776 is an abundant number, since it is smaller than the sum of its proper divisors (1338024).

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

736776 is a wasteful number, since it uses less digits than its factorization.

736776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 384 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 736776 is about 858.3565692648. The cubic root of 736776 is about 90.3188689170.

The spelling of 736776 in words is "seven hundred thirty-six thousand, seven hundred seventy-six".