2776800672 has 144 divisors (see below), whose sum is σ = 8724905280. Its totient is φ = 833243136.

The previous prime is 2776800671. The next prime is 2776800673. The reversal of 2776800672 is 2760086772.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2776800671) and next prime (2776800673).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2776800671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100279 + ... + 124937.

It is an arithmetic number, because the mean of its divisors is an integer number (60589620).

Almost surely, 2^2776800672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2776800672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362452640).

2776800672 is an abundant number, since it is smaller than the sum of its proper divisors (5948104608).

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

2776800672 is a wasteful number, since it uses less digits than its factorization.

2776800672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24715 (or 24704 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 2776800672 is about 52695.3572148439. The cubic root of 2776800672 is about 1405.5562649203.

The spelling of 2776800672 in words is "two billion, seven hundred seventy-six million, eight hundred thousand, six hundred seventy-two".