677234880 has 252 divisors, whose sum is σ = 2710281600. Its totient is φ = 154764288.

The previous prime is 677234869. The next prime is 677234881. The reversal of 677234880 is 88432776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×677234880² = 917294165377228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (677234881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138721 + ... + 143519.

Almost surely, 2^677234880 is an apocalyptic number.

677234880 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 677234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355140800).

677234880 is an abundant number, since it is smaller than the sum of its proper divisors (2033046720).

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

677234880 is a wasteful number, since it uses less digits than its factorization.

677234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4836 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 677234880 is about 26023.7368569543. The cubic root of 677234880 is about 878.1723777412.

The spelling of 677234880 in words is "six hundred seventy-seven million, two hundred thirty-four thousand, eight hundred eighty".