2760678720 has 448 divisors, whose sum is σ = 10446105600. Its totient is φ = 684288000.

The previous prime is 2760678703. The next prime is 2760678727. The reversal of 2760678720 is 278760672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2760678727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10998595 + ... + 10998845.

It is an arithmetic number, because the mean of its divisors is an integer number (23317200).

Almost surely, 2^2760678720 is an apocalyptic number.

2760678720 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 2760678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223052800).

2760678720 is an abundant number, since it is smaller than the sum of its proper divisors (7685426880).

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

2760678720 is a wasteful number, since it uses less digits than its factorization.

2760678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

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

The square root of 2760678720 is about 52542.1613563812. The cubic root of 2760678720 is about 1402.8307893146.

The spelling of 2760678720 in words is "two billion, seven hundred sixty million, six hundred seventy-eight thousand, seven hundred twenty".