727896078 has 128 divisors (see below), whose sum is σ = 2032128000. Its totient is φ = 191909088.

The previous prime is 727896077. The next prime is 727896109. The reversal of 727896078 is 870698727.

727896078 is a `hidden beast` number, since 7 + 27 + 8 + 9 + 607 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727896077) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 239275 + ... + 242297.

It is an arithmetic number, because the mean of its divisors is an integer number (15876000).

Almost surely, 2^727896078 is an apocalyptic number.

727896078 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 727896078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064000).

727896078 is an abundant number, since it is smaller than the sum of its proper divisors (1304231922).

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

727896078 is a wasteful number, since it uses less digits than its factorization.

727896078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 727896078 is about 26979.5492549449. The cubic root of 727896078 is about 899.5454816087.

The spelling of 727896078 in words is "seven hundred twenty-seven million, eight hundred ninety-six thousand, seventy-eight".