76780074355776 has 189 divisors, whose sum is σ = 241909249304359. Its totient is φ = 23265988204800.

The previous prime is 76780074355771. The next prime is 76780074355793. The reversal of 76780074355776 is 67755347008767.

The square root of 76780074355776 is 8762424.

It is a perfect power (a square), and thus also a powerful number.

76780074355776 is a `hidden beast` number, since 7 + 6 + 7 + 8 + 0 + 0 + 7 + 43 + 5 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76780074355771) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2313263341 + ... + 2313296531.

Almost surely, 2^{76780074355776} is an apocalyptic number.

76780074355776 is the 8762424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76780074355776

76780074355776 is an abundant number, since it is smaller than the sum of its proper divisors (165129174948583).

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

76780074355776 is an frugal number, since it uses more digits than its factorization.

76780074355776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66422 (or 33207 counting only the distinct ones).

The product of its (nonzero) digits is 1452124800, while the sum is 72.

The spelling of 76780074355776 in words is "seventy-six trillion, seven hundred eighty billion, seventy-four million, three hundred fifty-five thousand, seven hundred seventy-six".