1077145076736 has 297 divisors, whose sum is σ = 3288324223821. Its totient is φ = 339553271808.

The previous prime is 1077145076731. The next prime is 1077145076747. The reversal of 1077145076736 is 6376705417701.

It is a happy number.

The square root of 1077145076736 is 1037856.

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

1077145076736 is a `hidden beast` number, since 1 + 0 + 7 + 71 + 4 + 507 + 67 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 177530766336 + 899614310400 = 421344^2 + 948480^2 .

It is not an unprimeable number, because it can be changed into a prime (1077145076731) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1893049060 + ... + 1893049628.

Almost surely, 2^{1077145076736} is an apocalyptic number.

1077145076736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1077145076736 is the 1037856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077145076736

1077145076736 is an abundant number, since it is smaller than the sum of its proper divisors (2211179147085).

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

1077145076736 is an frugal number, since it uses more digits than its factorization.

1077145076736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 1077145076736 in words is "one trillion, seventy-seven billion, one hundred forty-five million, seventy-six thousand, seven hundred thirty-six".