76490106 has 64 divisors (see below), whose sum is σ = 201968640. Its totient is φ = 18696960.

The previous prime is 76490093. The next prime is 76490149. The reversal of 76490106 is 60109467.

It is a happy number.

It is a super-3 number, since 3×76490106³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2985 + ... + 12723.

It is an arithmetic number, because the mean of its divisors is an integer number (3155760).

Almost surely, 2^76490106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76490106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100984320).

76490106 is an abundant number, since it is smaller than the sum of its proper divisors (125478534).

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

76490106 is a wasteful number, since it uses less digits than its factorization.

76490106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9779.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 76490106 is about 8745.8622216452. The cubic root of 76490106 is about 424.4909355848.

The spelling of 76490106 in words is "seventy-six million, four hundred ninety thousand, one hundred six".