77992291441 has 9 divisors (see below), whose sum is σ = 78452707851. Its totient is φ = 77534566272.

The previous prime is 77992291423. The next prime is 77992291459. The reversal of 77992291441 is 14419229977.

It is a happy number.

The square root of 77992291441 is 279271.

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

It is an interprime number because it is at equal distance from previous prime (77992291423) and next prime (77992291459).

It can be written as a sum of positive squares in only one way, i.e., 18896626225 + 59095665216 = 137465^2 + 243096^2 .

It is not a de Polignac number, because 77992291441 - 2⁷ = 77992291313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77992294441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53898580 + ... + 53900026.

It is an arithmetic number, because the mean of its divisors is an integer number (8716967539).

Almost surely, 2^77992291441 is an apocalyptic number.

77992291441 is the 279271-st square number.

77992291441 is the 139636-th centered octagonal number.

It is an amenable number.

77992291441 is a deficient number, since it is larger than the sum of its proper divisors (460416410).

77992291441 is an frugal number, since it uses more digits than its factorization.

77992291441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 1640 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 55.

The spelling of 77992291441 in words is "seventy-seven billion, nine hundred ninety-two million, two hundred ninety-one thousand, four hundred forty-one".