76094720 has 144 divisors (see below), whose sum is σ = 208610640. Its totient is φ = 26345472.

The previous prime is 76094701. The next prime is 76094723. The reversal of 76094720 is 2749067.

It can be written as a sum of positive squares in 8 ways, for example, as 10549504 + 65545216 = 3248^2 + 8096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76094723) 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, 282746 + ... + 283014.

It is an arithmetic number, because the mean of its divisors is an integer number (1448685).

Almost surely, 2^76094720 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 76094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104305320).

76094720 is an abundant number, since it is smaller than the sum of its proper divisors (132515920).

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

76094720 is a wasteful number, since it uses less digits than its factorization.

76094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 76094720 is about 8723.2287600406. The cubic root of 76094720 is about 423.7582578308.

The spelling of 76094720 in words is "seventy-six million, ninety-four thousand, seven hundred twenty".