677576340 has 192 divisors, whose sum is σ = 2440005120. Its totient is φ = 154804608.

The previous prime is 677576321. The next prime is 677576399. The reversal of 677576340 is 43675776.

677576340 is a `hidden beast` number, since 6 + 7 + 7 + 5 + 7 + 634 + 0 = 666.

677576340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 305074 + ... + 307286.

It is an arithmetic number, because the mean of its divisors is an integer number (12708360).

Almost surely, 2^677576340 is an apocalyptic number.

677576340 is a gapful number since it is divisible by the number (60) 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 677576340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220002560).

677576340 is an abundant number, since it is smaller than the sum of its proper divisors (1762428780).

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

677576340 is a wasteful number, since it uses less digits than its factorization.

677576340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 677576340 is about 26030.2965791787. The cubic root of 677576340 is about 878.3199436580.

The spelling of 677576340 in words is "six hundred seventy-seven million, five hundred seventy-six thousand, three hundred forty".