76430120 has 64 divisors (see below), whose sum is σ = 187125120. Its totient is φ = 27926784.

The previous prime is 76430119. The next prime is 76430143. The reversal of 76430120 is 2103467.

It is a super-4 number, since 4×76430120⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52847 + ... + 54273.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 2^76430120 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 76430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

76430120 is an abundant number, since it is smaller than the sum of its proper divisors (110695000).

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

76430120 is a wasteful number, since it uses less digits than its factorization.

76430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 76430120 is about 8742.4321558706. The cubic root of 76430120 is about 424.3799400852.

Adding to 76430120 its reverse (2103467), we get a palindrome (78533587).

The spelling of 76430120 in words is "seventy-six million, four hundred thirty thousand, one hundred twenty".