677545920 has 168 divisors, whose sum is σ = 2405969280. Its totient is φ = 174827520.

The previous prime is 677545877. The next prime is 677545963. The reversal of 677545920 is 29545776.

677545920 is a `hidden beast` number, since 6 + 7 + 7 + 54 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (677545877) and next prime (677545963).

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

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 23 ways as a sum of consecutive naturals, for example, 85486 + ... + 93074.

Almost surely, 2^677545920 is an apocalyptic number.

677545920 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 677545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202984640).

677545920 is an abundant number, since it is smaller than the sum of its proper divisors (1728423360).

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

677545920 is a wasteful number, since it uses less digits than its factorization.

677545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7643 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 677545920 is about 26029.7122534998. The cubic root of 677545920 is about 878.3067993125.

The spelling of 677545920 in words is "six hundred seventy-seven million, five hundred forty-five thousand, nine hundred twenty".