77422401 has 27 divisors (see below), whose sum is σ = 130401921. Its totient is φ = 44135784.

The previous prime is 77422363. The next prime is 77422409. The reversal of 77422401 is 10422477.

It is a happy number.

The square root of 77422401 is 8799.

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

It is not a de Polignac number, because 77422401 - 2¹⁵ = 77389633 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77422409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 184570 + ... + 184988.

Almost surely, 2^77422401 is an apocalyptic number.

77422401 is the 8799-th square number.

77422401 is the 4400-th centered octagonal number.

It is an amenable number.

77422401 is a deficient number, since it is larger than the sum of its proper divisors (52979520).

77422401 is an equidigital number, since it uses as much as digits as its factorization.

77422401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The cubic root of 77422401 is about 426.2086031182.

Multiplying 77422401 by its product of nonzero digits (3136), we get a square (242796649536 = 492744²).

Adding to 77422401 its reverse (10422477), we get a palindrome (87844878).

The spelling of 77422401 in words is "seventy-seven million, four hundred twenty-two thousand, four hundred one".