76414000 has 80 divisors (see below), whose sum is σ = 199049760. Its totient is φ = 28204800.

The previous prime is 76413979. The next prime is 76414001. The reversal of 76414000 is 41467.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (76414001) 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 15 ways as a sum of consecutive naturals, for example, 24531 + ... + 27469.

It is an arithmetic number, because the mean of its divisors is an integer number (2488122).

Almost surely, 2^76414000 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 76414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99524880).

76414000 is an abundant number, since it is smaller than the sum of its proper divisors (122635760).

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

76414000 is a wasteful number, since it uses less digits than its factorization.

76414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 76414000 is about 8741.5101670135. The cubic root of 76414000 is about 424.3501024346.

Adding to 76414000 its reverse (41467), we get a palindrome (76455467).

The spelling of 76414000 in words is "seventy-six million, four hundred fourteen thousand".