76753440 has 192 divisors, whose sum is σ = 272764800. Its totient is φ = 20155392.

The previous prime is 76753423. The next prime is 76753447. The reversal of 76753440 is 4435767.

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

It is a junction number, because it is equal to n+sod(n) for n = 76753395 and 76753404.

It is not an unprimeable number, because it can be changed into a prime (76753447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470799 + ... + 470961.

It is an arithmetic number, because the mean of its divisors is an integer number (1420650).

Almost surely, 2^76753440 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 76753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136382400).

76753440 is an abundant number, since it is smaller than the sum of its proper divisors (196011360).

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

76753440 is a wasteful number, since it uses less digits than its factorization.

76753440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 76753440 is about 8760.9040629378. The cubic root of 76753440 is about 424.9775120743.

The spelling of 76753440 in words is "seventy-six million, seven hundred fifty-three thousand, four hundred forty".