76245120 has 384 divisors, whose sum is σ = 315694080. Its totient is φ = 16588800.

The previous prime is 76245101. The next prime is 76245131. The reversal of 76245120 is 2154267.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249890 + ... + 1249950.

It is an arithmetic number, because the mean of its divisors is an integer number (822120).

Almost surely, 2^76245120 is an apocalyptic number.

76245120 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 76245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157847040).

76245120 is an abundant number, since it is smaller than the sum of its proper divisors (239448960).

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

76245120 is a wasteful number, since it uses less digits than its factorization.

76245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 76245120 is about 8731.8451658284. The cubic root of 76245120 is about 424.0372579102.

Adding to 76245120 its reverse (2154267), we get a palindrome (78399387).

The spelling of 76245120 in words is "seventy-six million, two hundred forty-five thousand, one hundred twenty".