396077760 has 336 divisors, whose sum is σ = 1497787200. Its totient is φ = 95477760.

The previous prime is 396077719. The next prime is 396077771. The reversal of 396077760 is 67770693.

396077760 is a `hidden beast` number, since 39 + 607 + 7 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2658166 + ... + 2658314.

It is an arithmetic number, because the mean of its divisors is an integer number (4457700).

Almost surely, 2^396077760 is an apocalyptic number.

396077760 is a gapful number since it is divisible by the number (30) 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 396077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748893600).

396077760 is an abundant number, since it is smaller than the sum of its proper divisors (1101709440).

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

396077760 is a wasteful number, since it uses less digits than its factorization.

396077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 396077760 is about 19901.7024397412. The cubic root of 396077760 is about 734.3901090840.

The spelling of 396077760 in words is "three hundred ninety-six million, seventy-seven thousand, seven hundred sixty".