727781040 has 240 divisors, whose sum is σ = 2811302208. Its totient is φ = 165279744.

The previous prime is 727781023. The next prime is 727781077. The reversal of 727781040 is 40187727.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 727780986 and 727781004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992514 + ... + 993246.

Almost surely, 2^727781040 is an apocalyptic number.

727781040 is a gapful number since it is divisible by the number (70) 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 727781040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405651104).

727781040 is an abundant number, since it is smaller than the sum of its proper divisors (2083521168).

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

727781040 is a wasteful number, since it uses less digits than its factorization.

727781040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 727781040 is about 26977.4172225586. The cubic root of 727781040 is about 899.4980905189.

The spelling of 727781040 in words is "seven hundred twenty-seven million, seven hundred eighty-one thousand, forty".