676177920 has 576 divisors, whose sum is σ = 2759702400. Its totient is φ = 151388160.

The previous prime is 676177919. The next prime is 676177933. The reversal of 676177920 is 29771676.

676177920 is a `hidden beast` number, since 6 + 7 + 617 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23316466 + ... + 23316494.

It is an arithmetic number, because the mean of its divisors is an integer number (4791150).

Almost surely, 2^676177920 is an apocalyptic number.

676177920 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 676177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379851200).

676177920 is an abundant number, since it is smaller than the sum of its proper divisors (2083524480).

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

676177920 is a wasteful number, since it uses less digits than its factorization.

676177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 676177920 is about 26003.4213133580. The cubic root of 676177920 is about 877.7152855271.

It can be divided in two parts, 6761 and 77920, that added together give a square (84681 = 291²).

The spelling of 676177920 in words is "six hundred seventy-six million, one hundred seventy-seven thousand, nine hundred twenty".