677208480 has 192 divisors, whose sum is σ = 2354220288. Its totient is φ = 162570240.

The previous prime is 677208479. The next prime is 677208487. The reversal of 677208480 is 84802776.

It is a super-2 number, since 2×677208480² = 917222650767820800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (677208487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254517 + ... + 257163.

It is an arithmetic number, because the mean of its divisors is an integer number (12261564).

Almost surely, 2^677208480 is an apocalyptic number.

677208480 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 677208480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177110144).

677208480 is an abundant number, since it is smaller than the sum of its proper divisors (1677011808).

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

677208480 is a wasteful number, since it uses less digits than its factorization.

677208480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 677208480 is about 26023.2296227813. The cubic root of 677208480 is about 878.1609666081.

The spelling of 677208480 in words is "six hundred seventy-seven million, two hundred eight thousand, four hundred eighty".