1076820480 has 280 divisors, whose sum is σ = 3877706052. Its totient is φ = 286654464.

The previous prime is 1076820461. The next prime is 1076820487. The reversal of 1076820480 is 840286701.

It can be written as a sum of positive squares in 2 ways, for example, as 994519296 + 82301184 = 31536^2 + 9072^2 .

It is a super-2 number, since 2×1076820480² = 2319084692294860800, which contains 22 as substring.

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 (1076820487) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 1865952 + ... + 1866528.

Almost surely, 2^1076820480 is an apocalyptic number.

1076820480 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 1076820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938853026).

1076820480 is an abundant number, since it is smaller than the sum of its proper divisors (2800885572).

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

1076820480 is an frugal number, since it uses more digits than its factorization.

1076820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1076820480 is about 32814.9429376313. The cubic root of 1076820480 is about 1024.9777445098.

The spelling of 1076820480 in words is "one billion, seventy-six million, eight hundred twenty thousand, four hundred eighty".