1277680320 has 168 divisors, whose sum is σ = 5022579744. Its totient is φ = 292036608.

The previous prime is 1277680307. The next prime is 1277680321. The reversal of 1277680320 is 230867721.

1277680320 is a `hidden beast` number, since 1 + 277 + 68 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1277680321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11529 + ... + 51848.

It is an arithmetic number, because the mean of its divisors is an integer number (29896308).

Almost surely, 2^1277680320 is an apocalyptic number.

1277680320 is a gapful number since it is divisible by the number (10) 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 1277680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511289872).

1277680320 is an abundant number, since it is smaller than the sum of its proper divisors (3744899424).

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

1277680320 is a wasteful number, since it uses less digits than its factorization.

1277680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63407 (or 63394 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1277680320 is about 35744.6544255221. The cubic root of 1277680320 is about 1085.1107562473.

It can be divided in two parts, 12776 and 80320, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 1277680320 in words is "one billion, two hundred seventy-seven million, six hundred eighty thousand, three hundred twenty".