76620100 has 36 divisors (see below), whose sum is σ = 168153300. Its totient is φ = 30300160.

The previous prime is 76620091. The next prime is 76620119. The reversal of 76620100 is 102667.

It can be written as a sum of positive squares in 6 ways, for example, as 14273284 + 62346816 = 3778^2 + 7896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4596 + ... + 13204.

It is an arithmetic number, because the mean of its divisors is an integer number (4670925).

Almost surely, 2^76620100 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 76620100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84076650).

76620100 is an abundant number, since it is smaller than the sum of its proper divisors (91533200).

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

76620100 is a wasteful number, since it uses less digits than its factorization.

76620100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8712 (or 8705 counting only the distinct ones).

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

The square root of 76620100 is about 8753.2908097469. The cubic root of 76620100 is about 424.7312718718.

Adding to 76620100 its reverse (102667), we get a palindrome (76722767).

The spelling of 76620100 in words is "seventy-six million, six hundred twenty thousand, one hundred".