981780480 has 384 divisors, whose sum is σ = 3608841600. Its totient is φ = 253034496.

The previous prime is 981780467. The next prime is 981780551. The reversal of 981780480 is 84087189.

981780480 is a `hidden beast` number, since 98 + 1 + 7 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 14653407 + ... + 14653473.

It is an arithmetic number, because the mean of its divisors is an integer number (9398025).

Almost surely, 2^981780480 is an apocalyptic number.

981780480 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 981780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804420800).

981780480 is an abundant number, since it is smaller than the sum of its proper divisors (2627061120).

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

981780480 is a wasteful number, since it uses less digits than its factorization.

981780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 981780480 is about 31333.3764538710. The cubic root of 981780480 is about 993.8895653038.

The spelling of 981780480 in words is "nine hundred eighty-one million, seven hundred eighty thousand, four hundred eighty".