76941144 has 128 divisors (see below), whose sum is σ = 246604800. Its totient is φ = 21772800.

The previous prime is 76941143. The next prime is 76941217. The reversal of 76941144 is 44114967.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 76941099 and 76941108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76941143) 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 31 ways as a sum of consecutive naturals, for example, 228144 + ... + 228480.

It is an arithmetic number, because the mean of its divisors is an integer number (1926600).

Almost surely, 2^76941144 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 76941144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123302400).

76941144 is an abundant number, since it is smaller than the sum of its proper divisors (169663656).

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

76941144 is a wasteful number, since it uses less digits than its factorization.

76941144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 500 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 76941144 is about 8771.6101144545. The cubic root of 76941144 is about 425.3236639432.

The spelling of 76941144 in words is "seventy-six million, nine hundred forty-one thousand, one hundred forty-four".