676229760 has 384 divisors, whose sum is σ = 2539555200. Its totient is φ = 165224448.

The previous prime is 676229759. The next prime is 676229761. The reversal of 676229760 is 67922676.

It is an interprime number because it is at equal distance from previous prime (676229759) and next prime (676229761).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×676229760⁴ (a number of 36 digits) contains 4444 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 (676229761) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4049197 + ... + 4049363.

It is an arithmetic number, because the mean of its divisors is an integer number (6613425).

Almost surely, 2^676229760 is an apocalyptic number.

676229760 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 676229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269777600).

676229760 is an abundant number, since it is smaller than the sum of its proper divisors (1863325440).

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

676229760 is a wasteful number, since it uses less digits than its factorization.

676229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

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

The square root of 676229760 is about 26004.4180861637. The cubic root of 676229760 is about 877.7377153228.

The spelling of 676229760 in words is "six hundred seventy-six million, two hundred twenty-nine thousand, seven hundred sixty".