427320768 has 168 divisors, whose sum is σ = 1341589392. Its totient is φ = 119648256.

The previous prime is 427320743. The next prime is 427320781. The reversal of 427320768 is 867023724.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 498196 + ... + 499052.

Almost surely, 2^427320768 is an apocalyptic number.

427320768 is a gapful number since it is divisible by the number (48) 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 427320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670794696).

427320768 is an abundant number, since it is smaller than the sum of its proper divisors (914268624).

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

427320768 is a wasteful number, since it uses less digits than its factorization.

427320768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 427320768 is about 20671.7383884375. The cubic root of 427320768 is about 753.2133347556.

The spelling of 427320768 in words is "four hundred twenty-seven million, three hundred twenty thousand, seven hundred sixty-eight".