677075840 has 128 divisors (see below), whose sum is σ = 1930590720. Its totient is φ = 222013440.

The previous prime is 677075837. The next prime is 677075891. The reversal of 677075840 is 48570776.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×677075840² = 916863386223411200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 677075791 and 677075800.

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, 99755 + ... + 106325.

It is an arithmetic number, because the mean of its divisors is an integer number (15082740).

Almost surely, 2^677075840 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 677075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965295360).

677075840 is an abundant number, since it is smaller than the sum of its proper divisors (1253514880).

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

677075840 is a wasteful number, since it uses less digits than its factorization.

677075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6620 (or 6608 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The square root of 677075840 is about 26020.6810056924. The cubic root of 677075840 is about 878.1036298207.

The spelling of 677075840 in words is "six hundred seventy-seven million, seventy-five thousand, eight hundred forty".