380977605478800 has 240 divisors, whose sum is σ = 1479270622138560. Its totient is φ = 92358207360000.

The previous prime is 380977605478783. The next prime is 380977605478837. The reversal of 380977605478800 is 8874506779083.

380977605478800 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 7 + 7 + 605 + 4 + 7 + 8 + 8 + 0 + 0 = 666.

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 (72).

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, 1603322301 + ... + 1603559900.

It is an arithmetic number, because the mean of its divisors is an integer number (6163627592244).

Almost surely, 2^{380977605478800} is an apocalyptic number.

380977605478800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380977605478800 is an abundant number, since it is smaller than the sum of its proper divisors (1098293016659760).

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

380977605478800 is a wasteful number, since it uses less digits than its factorization.

380977605478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206882239 (or 3206882222 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 380977605478800 in words is "three hundred eighty trillion, nine hundred seventy-seven billion, six hundred five million, four hundred seventy-eight thousand, eight hundred".