76455255240 has 1152 divisors, whose sum is σ = 327091564800. Its totient is φ = 15721205760.

The previous prime is 76455255229. The next prime is 76455255281. The reversal of 76455255240 is 4255255467.

76455255240 is a `hidden beast` number, since 7 + 6 + 4 + 5 + 52 + 552 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 701424306 + ... + 701424414.

It is an arithmetic number, because the mean of its divisors is an integer number (283933650).

Almost surely, 2^76455255240 is an apocalyptic number.

76455255240 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 76455255240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163545782400).

76455255240 is an abundant number, since it is smaller than the sum of its proper divisors (250636309560).

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

76455255240 is a wasteful number, since it uses less digits than its factorization.

76455255240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 76455255240 in words is "seventy-six billion, four hundred fifty-five million, two hundred fifty-five thousand, two hundred forty".