77820913296 has 495 divisors, whose sum is σ = 269664129993. Its totient is φ = 21692240640.

The previous prime is 77820913267. The next prime is 77820913327. The reversal of 77820913296 is 69231902877.

The square root of 77820913296 is 278964.

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., 3749847696 + 74071065600 = 61236^2 + 272160^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 1898071036 + ... + 1898071076.

Almost surely, 2^77820913296 is an apocalyptic number.

77820913296 is the 278964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77820913296

77820913296 is an abundant number, since it is smaller than the sum of its proper divisors (191843216697).

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

77820913296 is an frugal number, since it uses more digits than its factorization.

77820913296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 77820913296 in words is "seventy-seven billion, eight hundred twenty million, nine hundred thirteen thousand, two hundred ninety-six".