736361280 has 140 divisors (see below), whose sum is σ = 2619458820. Its totient is φ = 196356096.

The previous prime is 736361279. The next prime is 736361287. The reversal of 736361280 is 82163637.

It is a happy number.

736361280 is a `hidden beast` number, since 7 + 3 + 636 + 12 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 369562176 + 366799104 = 19224^2 + 19152^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736361287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11716 + ... + 40124.

Almost surely, 2^736361280 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 736361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309729410).

736361280 is an abundant number, since it is smaller than the sum of its proper divisors (1883097540).

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

736361280 is a wasteful number, since it uses less digits than its factorization.

736361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28438 (or 28419 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 736361280 is about 27135.9775943304. The cubic root of 736361280 is about 903.0191936407.

The spelling of 736361280 in words is "seven hundred thirty-six million, three hundred sixty-one thousand, two hundred eighty".