76010000 has 100 divisors (see below), whose sum is σ = 201048144. Its totient is φ = 27600000.

The previous prime is 76009987. The next prime is 76010021. The reversal of 76010000 is 1067.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109655 + ... + 110345.

Almost surely, 2^76010000 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 76010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100524072).

76010000 is an abundant number, since it is smaller than the sum of its proper divisors (125038144).

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

76010000 is a wasteful number, since it uses less digits than its factorization.

76010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 76010000 is about 8718.3714075508. The cubic root of 76010000 is about 423.6009357843.

Adding to 76010000 its reverse (1067), we get a palindrome (76011067).

The spelling of 76010000 in words is "seventy-six million, ten thousand".