76090014 has 192 divisors, whose sum is σ = 228953088. Its totient is φ = 17625600.

The previous prime is 76089991. The next prime is 76090031. The reversal of 76090014 is 41009067.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76090014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 738687 + ... + 738789.

It is an arithmetic number, because the mean of its divisors is an integer number (1192464).

Almost surely, 2^76090014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76090014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544).

76090014 is an abundant number, since it is smaller than the sum of its proper divisors (152863074).

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

76090014 is a wasteful number, since it uses less digits than its factorization.

76090014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 76090014 is about 8722.9590162972. The cubic root of 76090014 is about 423.7495220189.

The spelling of 76090014 in words is "seventy-six million, ninety thousand, fourteen".