677778100 has 36 divisors (see below), whose sum is σ = 1557298764. Its totient is φ = 255162880.

The previous prime is 677778077. The next prime is 677778121. The reversal of 677778100 is 1877776.

It can be written as a sum of positive squares in 6 ways, for example, as 42536484 + 635241616 = 6522^2 + 25204^2 .

It is a super-2 number, since 2×677778100² = 918766305679220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197647 + ... + 201046.

It is an arithmetic number, because the mean of its divisors is an integer number (43258299).

Almost surely, 2^677778100 is an apocalyptic number.

It is an amenable number.

677778100 is an abundant number, since it is smaller than the sum of its proper divisors (879520664).

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

677778100 is a wasteful number, since it uses less digits than its factorization.

677778100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398724 (or 398717 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 43.

The square root of 677778100 is about 26034.1717748040. The cubic root of 677778100 is about 878.4071132925.

The spelling of 677778100 in words is "six hundred seventy-seven million, seven hundred seventy-eight thousand, one hundred".