2077728000 has 288 divisors, whose sum is σ = 7208877312. Its totient is φ = 529408000.

The previous prime is 2077727983. The next prime is 2077728019. The reversal of 2077728000 is 8277702.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2207530 + ... + 2208470.

It is an arithmetic number, because the mean of its divisors is an integer number (25030824).

Almost surely, 2^2077728000 is an apocalyptic number.

2077728000 is a gapful number since it is divisible by the number (20) 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 2077728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604438656).

2077728000 is an abundant number, since it is smaller than the sum of its proper divisors (5131149312).

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

2077728000 is an equidigital number, since it uses as much as digits as its factorization.

2077728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 2077728000 is about 45582.1017505775. The cubic root of 2077728000 is about 1276.0359132065.

The spelling of 2077728000 in words is "two billion, seventy-seven million, seven hundred twenty-eight thousand".