675770760 has 288 divisors, whose sum is σ = 2644925400. Its totient is φ = 149022720.

The previous prime is 675770759. The next prime is 675770761. The reversal of 675770760 is 67077576.

It is a happy number.

675770760 is a `hidden beast` number, since 6 + 7 + 577 + 0 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (675770759) and next prime (675770761).

It can be written as a sum of positive squares in 4 ways, for example, as 649944036 + 25826724 = 25494^2 + 5082^2 .

It is a super-2 number, since 2×675770760² = 913332240141955200, which contains 22 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 (675770761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 510900 + ... + 512220.

Almost surely, 2^675770760 is an apocalyptic number.

675770760 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 675770760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322462700).

675770760 is an abundant number, since it is smaller than the sum of its proper divisors (1969154640).

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

675770760 is a wasteful number, since it uses less digits than its factorization.

675770760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The square root of 675770760 is about 25995.5911646571. The cubic root of 675770760 is about 877.5390782996.

The spelling of 675770760 in words is "six hundred seventy-five million, seven hundred seventy thousand, seven hundred sixty".