2778000720 has 160 divisors (see below), whose sum is σ = 9803372544. Its totient is φ = 644160000.

The previous prime is 2778000713. The next prime is 2778000721. The reversal of 2778000720 is 270008772.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2778000721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37845 + ... + 83595.

Almost surely, 2^2778000720 is an apocalyptic number.

2778000720 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 2778000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901686272).

2778000720 is an abundant number, since it is smaller than the sum of its proper divisors (7025371824).

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

2778000720 is a wasteful number, since it uses less digits than its factorization.

2778000720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45801 (or 45795 counting only the distinct ones).

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

The square root of 2778000720 is about 52706.7426426639. The cubic root of 2778000720 is about 1405.7587151807.

The spelling of 2778000720 in words is "two billion, seven hundred seventy-eight million, seven hundred twenty", and thus it is an aban number.