76621000 has 64 divisors (see below), whose sum is σ = 180676080. Its totient is φ = 30412800.

The previous prime is 76620991. The next prime is 76621001. The reversal of 76621000 is 12667.

It can be written as a sum of positive squares in 8 ways, for example, as 1313316 + 75307684 = 1146^2 + 8678^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76621001) 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, 192802 + ... + 193198.

Almost surely, 2^76621000 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 76621000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90338040).

76621000 is an abundant number, since it is smaller than the sum of its proper divisors (104055080).

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

76621000 is a wasteful number, since it uses less digits than its factorization.

76621000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 76621000 is about 8753.3422188328. The cubic root of 76621000 is about 424.7329348673.

Adding to 76621000 its reverse (12667), we get a palindrome (76633667).

The spelling of 76621000 in words is "seventy-six million, six hundred twenty-one thousand".