677979280 has 320 divisors, whose sum is σ = 1979873280. Its totient is φ = 212889600.

The previous prime is 677979271. The next prime is 677979283. The reversal of 677979280 is 82979776.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (677979283) 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, 15766939 + ... + 15766981.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^677979280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677979280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989936640).

677979280 is an abundant number, since it is smaller than the sum of its proper divisors (1301894000).

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

677979280 is a wasteful number, since it uses less digits than its factorization.

677979280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 55.

The square root of 677979280 is about 26038.0352561402. The cubic root of 677979280 is about 878.4940151174.

It can be divided in two parts, 67797 and 9280, that added together give a palindrome (77077).

The spelling of 677979280 in words is "six hundred seventy-seven million, nine hundred seventy-nine thousand, two hundred eighty".