76419346977856 has 49 divisors (see below), whose sum is σ = 153131353832311. Its totient is φ = 37838705785152.

The previous prime is 76419346977817. The next prime is 76419346977859. The reversal of 76419346977856 is 65877964391467.

The square root of 76419346977856 is 8741816.

The cubic root of 76419346977856 is 42436.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (11522165760) is a multiple of the sum of its prime divisors (105).

It is a self number, because there is not a number n which added to its sum of digits gives 76419346977856.

It is not an unprimeable number, because it can be changed into a prime (76419346977859) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 741935407501 + ... + 741935407603.

Almost surely, 2^{76419346977856} is an apocalyptic number.

76419346977856 is the 8741816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76419346977856

76419346977856 is an abundant number, since it is smaller than the sum of its proper divisors (76712006854455).

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

76419346977856 is an frugal number, since it uses more digits than its factorization.

76419346977856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 105 counting only the distinct ones).

The product of its digits is 11522165760, while the sum is 82.

The spelling of 76419346977856 in words is "seventy-six trillion, four hundred nineteen billion, three hundred forty-six million, nine hundred seventy-seven thousand, eight hundred fifty-six".