980501760 has 540 divisors, whose sum is σ = 4102363188. Its totient is φ = 222953472.

The previous prime is 980501723. The next prime is 980501773. The reversal of 980501760 is 67105089.

980501760 is a `hidden beast` number, since 9 + 80 + 501 + 76 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 293642496 + 686859264 = 17136^2 + 26208^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×980501760² = 1922767402726195200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5080224 + ... + 5080416.

Almost surely, 2^980501760 is an apocalyptic number.

980501760 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 980501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051181594).

980501760 is an abundant number, since it is smaller than the sum of its proper divisors (3121861428).

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

980501760 is a wasteful number, since it uses less digits than its factorization.

980501760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 980501760 is about 31312.9647270903. The cubic root of 980501760 is about 993.4578806742.

The spelling of 980501760 in words is "nine hundred eighty million, five hundred one thousand, seven hundred sixty".