6077825280 has 540 divisors, whose sum is σ = 22840124076. Its totient is φ = 1542758400.

The previous prime is 6077825269. The next prime is 6077825323. The reversal of 6077825280 is 825287706.

It can be written as a sum of positive squares in 2 ways, for example, as 976437504 + 5101387776 = 31248^2 + 71424^2 .

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

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 59 ways as a sum of consecutive naturals, for example, 99636450 + ... + 99636510.

Almost surely, 2^6077825280 is an apocalyptic number.

6077825280 is a gapful number since it is divisible by the number (60) 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 6077825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11420062038).

6077825280 is an abundant number, since it is smaller than the sum of its proper divisors (16762298796).

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

6077825280 is an equidigital number, since it uses as much as digits as its factorization.

6077825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 6077825280 is about 77960.4084135018. The cubic root of 6077825280 is about 1824.9434177741.

The spelling of 6077825280 in words is "six billion, seventy-seven million, eight hundred twenty-five thousand, two hundred eighty".