76490120 has 64 divisors (see below), whose sum is σ = 201294720. Its totient is φ = 25611264.

The previous prime is 76490093. The next prime is 76490149. The reversal of 76490120 is 2109467.

It is a super-2 number, since 2×76490120² = 11701476915228800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 8864 + ... + 15216.

It is an arithmetic number, because the mean of its divisors is an integer number (3145230).

Almost surely, 2^76490120 is an apocalyptic number.

76490120 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 76490120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100647360).

76490120 is an abundant number, since it is smaller than the sum of its proper divisors (124804600).

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

76490120 is a wasteful number, since it uses less digits than its factorization.

76490120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6414 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 76490120 is about 8745.8630220236. The cubic root of 76490120 is about 424.4909614831.

Adding to 76490120 its reverse (2109467), we get a palindrome (78599587).

The spelling of 76490120 in words is "seventy-six million, four hundred ninety thousand, one hundred twenty".