677643120 has 480 divisors, whose sum is σ = 3008378880. Its totient is φ = 132341760.

The previous prime is 677643101. The next prime is 677643139. The reversal of 677643120 is 21346776.

677643120 is a `hidden beast` number, since 6 + 7 + 7 + 643 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (677643101) and next prime (677643139).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 942121 + ... + 942839.

It is an arithmetic number, because the mean of its divisors is an integer number (6267456).

Almost surely, 2^677643120 is an apocalyptic number.

677643120 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 677643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504189440).

677643120 is an abundant number, since it is smaller than the sum of its proper divisors (2330735760).

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

677643120 is a wasteful number, since it uses less digits than its factorization.

677643120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 677643120 is about 26031.5792836316. The cubic root of 677643120 is about 878.3487976166.

Adding to 677643120 its reverse (21346776), we get a palindrome (698989896).

The spelling of 677643120 in words is "six hundred seventy-seven million, six hundred forty-three thousand, one hundred twenty".