76404451649296 has 15 divisors (see below), whose sum is σ = 148033692813013. Its totient is φ = 38202208342720.

The previous prime is 76404451649293. The next prime is 76404451649329. The reversal of 76404451649296 is 69294615440467.

The square root of 76404451649296 is 8740964.

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

It can be written as a sum of positive squares in only one way, i.e., 458106970896 + 75946344678400 = 676836^2 + 8714720^2 .

It is a super-2 number, since 2×76404451649296² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76404451649293) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 33871236 + ... + 36056476.

Almost surely, 2^{76404451649296} is an apocalyptic number.

76404451649296 is the 8740964-th square number.

It is an amenable number.

76404451649296 is a deficient number, since it is larger than the sum of its proper divisors (71629241163717).

76404451649296 is an frugal number, since it uses more digits than its factorization.

76404451649296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370490 (or 2185243 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 67.

The spelling of 76404451649296 in words is "seventy-six trillion, four hundred four billion, four hundred fifty-one million, six hundred forty-nine thousand, two hundred ninety-six".