104780021760 has 720 divisors, whose sum is σ = 391593436416. Its totient is φ = 25848446976.

The previous prime is 104780021729. The next prime is 104780021761. The reversal of 104780021760 is 67120087401.

104780021760 is a `hidden beast` number, since 10 + 478 + 0 + 0 + 2 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104780021761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627425197 + ... + 627425363.

Almost surely, 2^104780021760 is an apocalyptic number.

104780021760 is a gapful number since it is divisible by the number (10) 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 104780021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195796718208).

104780021760 is an abundant number, since it is smaller than the sum of its proper divisors (286813414656).

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

104780021760 is a wasteful number, since it uses less digits than its factorization.

104780021760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 104780021760 in words is "one hundred four billion, seven hundred eighty million, twenty-one thousand, seven hundred sixty".