396764720 has 80 divisors (see below), whose sum is σ = 1050147072. Its totient is φ = 137998080.

The previous prime is 396764677. The next prime is 396764729. The reversal of 396764720 is 27467693.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (396764729) 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 15 ways as a sum of consecutive naturals, for example, 10439 + ... + 30041.

Almost surely, 2^396764720 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 396764720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525073536).

396764720 is an abundant number, since it is smaller than the sum of its proper divisors (653382352).

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

396764720 is a wasteful number, since it uses less digits than its factorization.

396764720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19650 (or 19644 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 44.

The square root of 396764720 is about 19918.9537877871. The cubic root of 396764720 is about 734.8144409480.

The spelling of 396764720 in words is "three hundred ninety-six million, seven hundred sixty-four thousand, seven hundred twenty".