76301120 has 112 divisors (see below), whose sum is σ = 216822528. Its totient is φ = 25006080.

The previous prime is 76301119. The next prime is 76301129. The reversal of 76301120 is 2110367.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 76301092 and 76301101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76301129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50780 + ... + 52260.

Almost surely, 2^76301120 is an apocalyptic number.

76301120 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 76301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108411264).

76301120 is an abundant number, since it is smaller than the sum of its proper divisors (140521408).

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

76301120 is a wasteful number, since it uses less digits than its factorization.

76301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 76301120 is about 8735.0512305309. The cubic root of 76301120 is about 424.1410471766.

Adding to 76301120 its reverse (2110367), we get a palindrome (78411487).

The spelling of 76301120 in words is "seventy-six million, three hundred one thousand, one hundred twenty".