2776798080 has 384 divisors, whose sum is σ = 11147947200. Its totient is φ = 623738880.

The previous prime is 2776798069. The next prime is 2776798099. The reversal of 2776798080 is 808976772.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2458956 + ... + 2460084.

Almost surely, 2^2776798080 is an apocalyptic number.

2776798080 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 2776798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573973600).

2776798080 is an abundant number, since it is smaller than the sum of its proper divisors (8371149120).

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

2776798080 is a wasteful number, since it uses less digits than its factorization.

2776798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 2776798080 is about 52695.3326206411. The cubic root of 2776798080 is about 1405.5558275821. Note that the first 3 decimals are identical.

The spelling of 2776798080 in words is "two billion, seven hundred seventy-six million, seven hundred ninety-eight thousand, eighty".