76705000 has 120 divisors (see below), whose sum is σ = 194351850. Its totient is φ = 28336000.

The previous prime is 76704997. The next prime is 76705001. The reversal of 76705000 is 50767.

It can be written as a sum of positive squares in 5 ways, for example, as 1119364 + 75585636 = 1058^2 + 8694^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (76705001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2644986 + ... + 2645014.

Almost surely, 2^76705000 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 76705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97175925).

76705000 is an abundant number, since it is smaller than the sum of its proper divisors (117646850).

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

76705000 is a wasteful number, since it uses less digits than its factorization.

76705000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 76705000 is about 8758.1390717435. The cubic root of 76705000 is about 424.8880904888. Note that the first 3 decimals are identical.

Adding to 76705000 its reverse (50767), we get a palindrome (76755767).

The spelling of 76705000 in words is "seventy-six million, seven hundred five thousand".