76120000 has 140 divisors (see below), whose sum is σ = 207102456. Its totient is φ = 27520000.

The previous prime is 76119977. The next prime is 76120001. The reversal of 76120000 is 2167.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76120001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 439914 + ... + 440086.

Almost surely, 2^76120000 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 76120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103551228).

76120000 is an abundant number, since it is smaller than the sum of its proper divisors (130982456).

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

76120000 is a wasteful number, since it uses less digits than its factorization.

76120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 76120000 is about 8724.6776444749. The cubic root of 76120000 is about 423.8051792759.

Adding to 76120000 its reverse (2167), we get a palindrome (76122167).

The spelling of 76120000 in words is "seventy-six million, one hundred twenty thousand".