277680000000 has 704 divisors, whose sum is σ = 1007505233280. Its totient is φ = 67584000000.

The previous prime is 277679999983. The next prime is 277680000023. The reversal of 277680000000 is 86772.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 8900 × 3900 × 8000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3119999956 + ... + 3120000044.

Almost surely, 2^277680000000 is an apocalyptic number.

277680000000 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 277680000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503752616640).

277680000000 is an abundant number, since it is smaller than the sum of its proper divisors (729825233280).

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

277680000000 is an frugal number, since it uses more digits than its factorization.

277680000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

Adding to 277680000000 its reverse (86772), we get a palindrome (277680086772).

The spelling of 277680000000 in words is "two hundred seventy-seven billion, six hundred eighty million", and thus it is an aban number.