677466720 has 384 divisors, whose sum is σ = 2778209280. Its totient is φ = 150958080.

The previous prime is 677466661. The next prime is 677466731. The reversal of 677466720 is 27664776.

It is a super-2 number, since 2×677466720² = 917922313415116800, which contains 22 as substring.

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, 1300060 + ... + 1300580.

It is an arithmetic number, because the mean of its divisors is an integer number (7234920).

Almost surely, 2^677466720 is an apocalyptic number.

677466720 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 677466720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389104640).

677466720 is an abundant number, since it is smaller than the sum of its proper divisors (2100742560).

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

677466720 is a wasteful number, since it uses less digits than its factorization.

677466720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 677466720 is about 26028.1908706694. The cubic root of 677466720 is about 878.2725755022.

The spelling of 677466720 in words is "six hundred seventy-seven million, four hundred sixty-six thousand, seven hundred twenty".