77399691264 has 819 divisors, whose sum is σ = 282200042523. Its totient is φ = 21152710656.

The previous prime is 77399691251. The next prime is 77399691269. The reversal of 77399691264 is 46219699377.

The square root of 77399691264 is 278208.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (77399691269) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3365203957 + ... + 3365203979.

Almost surely, 2^77399691264 is an apocalyptic number.

77399691264 is the 278208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77399691264

77399691264 is an abundant number, since it is smaller than the sum of its proper divisors (204800351259).

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

77399691264 is an frugal number, since it uses more digits than its factorization.

77399691264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 35 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The spelling of 77399691264 in words is "seventy-seven billion, three hundred ninety-nine million, six hundred ninety-one thousand, two hundred sixty-four".