76393440 has 72 divisors (see below), whose sum is σ = 260697528. Its totient is φ = 20371200.

The previous prime is 76393439. The next prime is 76393451. The reversal of 76393440 is 4439367.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 76393395 and 76393404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25086 + ... + 27965.

It is an arithmetic number, because the mean of its divisors is an integer number (3620799).

Almost surely, 2^76393440 is an apocalyptic number.

It is an amenable number.

76393440 is an abundant number, since it is smaller than the sum of its proper divisors (184304088).

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

76393440 is a wasteful number, since it uses less digits than its factorization.

76393440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53072 (or 53061 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 76393440 is about 8740.3340897245. The cubic root of 76393440 is about 424.3120403836.

The spelling of 76393440 in words is "seventy-six million, three hundred ninety-three thousand, four hundred forty".