677266920 has 320 divisors, whose sum is σ = 2567600640. Its totient is φ = 158630400.

The previous prime is 677266897. The next prime is 677266973. The reversal of 677266920 is 29662776.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1104534 + ... + 1105146.

It is an arithmetic number, because the mean of its divisors is an integer number (8023752).

Almost surely, 2^677266920 is an apocalyptic number.

677266920 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 677266920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283800320).

677266920 is an abundant number, since it is smaller than the sum of its proper divisors (1890333720).

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

677266920 is a wasteful number, since it uses less digits than its factorization.

677266920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 677266920 is about 26024.3524415114. The cubic root of 677266920 is about 878.1862263089.

The spelling of 677266920 in words is "six hundred seventy-seven million, two hundred sixty-six thousand, nine hundred twenty".