76231120 has 80 divisors (see below), whose sum is σ = 203879808. Its totient is φ = 25966080.

The previous prime is 76231093. The next prime is 76231121. The reversal of 76231120 is 2113267.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×76231120² = 11622367312908800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76231091 and 76231100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76231121) by changing a digit.

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, 109975 + ... + 110665.

Almost surely, 2^76231120 is an apocalyptic number.

76231120 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 76231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101939904).

76231120 is an abundant number, since it is smaller than the sum of its proper divisors (127648688).

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

76231120 is a wasteful number, since it uses less digits than its factorization.

76231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 76231120 is about 8731.0434657033. The cubic root of 76231120 is about 424.0113026535.

Adding to 76231120 its reverse (2113267), we get a palindrome (78344387).

The spelling of 76231120 in words is "seventy-six million, two hundred thirty-one thousand, one hundred twenty".