7677761280 has 144 divisors (see below), whose sum is σ = 28023926784. Its totient is φ = 1754910720.

The previous prime is 7677761263. The next prime is 7677761359. The reversal of 7677761280 is 821677767.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115936 + ... + 169695.

Almost surely, 2^7677761280 is an apocalyptic number.

7677761280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7677761280 is an abundant number, since it is smaller than the sum of its proper divisors (20346165504).

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

7677761280 is a wasteful number, since it uses less digits than its factorization.

7677761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285662 (or 285648 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 51.

The square root of 7677761280 is about 87622.8353798255. The cubic root of 7677761280 is about 1972.7779339486. Note that the first 3 decimals are identical.

The spelling of 7677761280 in words is "seven billion, six hundred seventy-seven million, seven hundred sixty-one thousand, two hundred eighty".