76106240 has 160 divisors (see below), whose sum is σ = 216843264. Its totient is φ = 25067520.

The previous prime is 76106231. The next prime is 76106243. The reversal of 76106240 is 4260167.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (76106243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555452 + ... + 555588.

Almost surely, 2^76106240 is an apocalyptic number.

76106240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108421632).

76106240 is an abundant number, since it is smaller than the sum of its proper divisors (140737024).

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

76106240 is a wasteful number, since it uses less digits than its factorization.

76106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 76106240 is about 8723.8890410183. The cubic root of 76106240 is about 423.7796410437.

The spelling of 76106240 in words is "seventy-six million, one hundred six thousand, two hundred forty".