76077471457890 has 448 divisors, whose sum is σ = 236188932341760. Its totient is φ = 17275129096320.

The previous prime is 76077471457879. The next prime is 76077471457919. The reversal of 76077471457890 is 9875417477067.

76077471457890 is a `hidden beast` number, since 7 + 6 + 0 + 7 + 7 + 47 + 1 + 4 + 578 + 9 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5548638135 + ... + 5548651845.

Almost surely, 2^{76077471457890} is an apocalyptic number.

76077471457890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76077471457890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118094466170880).

76077471457890 is an abundant number, since it is smaller than the sum of its proper divisors (160111460883870).

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

76077471457890 is a wasteful number, since it uses less digits than its factorization.

76077471457890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14449 (or 14434 counting only the distinct ones).

The product of its (nonzero) digits is 580849920, while the sum is 72.

The spelling of 76077471457890 in words is "seventy-six trillion, seventy-seven billion, four hundred seventy-one million, four hundred fifty-seven thousand, eight hundred ninety".