77414235743296 has 21 divisors (see below), whose sum is σ = 153619013729989. Its totient is φ = 38707082677504.

The previous prime is 77414235743293. The next prime is 77414235743303. The reversal of 77414235743296 is 69234753241477.

The square root of 77414235743296 is 8798536.

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., 42726093710400 + 34688142032896 = 6536520^2 + 5889664^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77414235743293) 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, 69838380 + ... + 70938196.

Almost surely, 2^{77414235743296} is an apocalyptic number.

77414235743296 is the 8798536-th square number.

It is an amenable number.

77414235743296 is a deficient number, since it is larger than the sum of its proper divisors (76204777986693).

77414235743296 is an frugal number, since it uses more digits than its factorization.

77414235743296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199646 (or 1099819 counting only the distinct ones).

The product of its digits is 213373440, while the sum is 64.

77414235743296 divided by its sum of digits (64) gives a square (1209597433489 = 1099817²).

The spelling of 77414235743296 in words is "seventy-seven trillion, four hundred fourteen billion, two hundred thirty-five million, seven hundred forty-three thousand, two hundred ninety-six".