76681000 has 64 divisors (see below), whose sum is σ = 195773760. Its totient is φ = 27880000.

The previous prime is 76680991. The next prime is 76681001. The reversal of 76681000 is 18667.

It is a super-2 number, since 2×76681000² = 11759951522000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76681000.

It is not an unprimeable number, because it can be changed into a prime (76681001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7515 + ... + 14485.

It is an arithmetic number, because the mean of its divisors is an integer number (3058965).

Almost surely, 2^76681000 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 76681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97886880).

76681000 is an abundant number, since it is smaller than the sum of its proper divisors (119092760).

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

76681000 is a wasteful number, since it uses less digits than its factorization.

76681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7003 (or 6989 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 76681000 is about 8756.7688104688. The cubic root of 76681000 is about 424.8437718747.

Adding to 76681000 its reverse (18667), we get a palindrome (76699667).

It can be divided in two parts, 7668 and 1000, that added together give a palindrome (8668).

The spelling of 76681000 in words is "seventy-six million, six hundred eighty-one thousand".