76457590485120 has 512 divisors, whose sum is σ = 291700815840000. Its totient is φ = 18814926716928.

The previous prime is 76457590484971. The next prime is 76457590485139. The reversal of 76457590485120 is 2158409575467.

It is a happy number.

76457590485120 is a `hidden beast` number, since 7 + 6 + 4 + 5 + 75 + 9 + 0 + 48 + 512 + 0 = 666.

It is a super-3 number, since 3×76457590485120³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 812475831 + ... + 812569929.

Almost surely, 2^{76457590485120} 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 76457590485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145850407920000).

76457590485120 is an abundant number, since it is smaller than the sum of its proper divisors (215243225354880).

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

76457590485120 is a wasteful number, since it uses less digits than its factorization.

76457590485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97757 (or 97739 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 76457590485120 in words is "seventy-six trillion, four hundred fifty-seven billion, five hundred ninety million, four hundred eighty-five thousand, one hundred twenty".