977795784000 has 2016 divisors, whose sum is σ = 4439441260800. Its totient is φ = 204025651200.

The previous prime is 977795783959. The next prime is 977795784001. The reversal of 977795784000 is 487597779.

977795784000 is a `hidden beast` number, since 9 + 7 + 77 + 95 + 78 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977795784001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1943927749 + ... + 1943928251.

It is an arithmetic number, because the mean of its divisors is an integer number (2202103800).

Almost surely, 2^977795784000 is an apocalyptic number.

977795784000 is a gapful number since it is divisible by the number (90) 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 977795784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219720630400).

977795784000 is an abundant number, since it is smaller than the sum of its proper divisors (3461645476800).

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

977795784000 is a wasteful number, since it uses less digits than its factorization.

977795784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 63.

The spelling of 977795784000 in words is "nine hundred seventy-seven billion, seven hundred ninety-five million, seven hundred eighty-four thousand".