76127700 has 288 divisors, whose sum is σ = 269982720. Its totient is φ = 16332800.

The previous prime is 76127669. The next prime is 76127729. The reversal of 76127700 is 772167.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1290271 + ... + 1290329.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^76127700 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 76127700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

76127700 is an abundant number, since it is smaller than the sum of its proper divisors (193855020).

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

76127700 is a wasteful number, since it uses less digits than its factorization.

76127700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 76127700 is about 8725.1189103645. The cubic root of 76127700 is about 423.8194689494.

Adding to 76127700 its reverse (772167), we get a palindrome (76899867).

The spelling of 76127700 in words is "seventy-six million, one hundred twenty-seven thousand, seven hundred".