677623296 has 320 divisors, whose sum is σ = 2262712320. Its totient is φ = 175841280.

The previous prime is 677623273. The next prime is 677623333. The reversal of 677623296 is 692326776.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6332875 + ... + 6332981.

It is an arithmetic number, because the mean of its divisors is an integer number (7070976).

Almost surely, 2^677623296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677623296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131356160).

677623296 is an abundant number, since it is smaller than the sum of its proper divisors (1585089024).

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

677623296 is a wasteful number, since it uses less digits than its factorization.

677623296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 48.

The square root of 677623296 is about 26031.1985125541. The cubic root of 677623296 is about 878.3402323626.

The spelling of 677623296 in words is "six hundred seventy-seven million, six hundred twenty-three thousand, two hundred ninety-six".