677214720 has 960 divisors, whose sum is σ = 3217294080. Its totient is φ = 127401984.

The previous prime is 677214719. The next prime is 677214721. The reversal of 677214720 is 27412776.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (677214719) and next prime (677214721).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (677214721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35642871 + ... + 35642889.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2^677214720 is an apocalyptic number.

677214720 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 677214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608647040).

677214720 is an abundant number, since it is smaller than the sum of its proper divisors (2540079360).

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

677214720 is a wasteful number, since it uses less digits than its factorization.

677214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 677214720 is about 26023.3495153871. The cubic root of 677214720 is about 878.1636638118.

The spelling of 677214720 in words is "six hundred seventy-seven million, two hundred fourteen thousand, seven hundred twenty".