77414401 has 8 divisors (see below), whose sum is σ = 78105600. Its totient is φ = 76726560.

The previous prime is 77414399. The next prime is 77414411. The reversal of 77414401 is 10441477.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77414401 - 2¹ = 77414399 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77414401.

It is not an unprimeable number, because it can be changed into a prime (77414411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68005 + ... + 69133.

It is an arithmetic number, because the mean of its divisors is an integer number (9763200).

It is a Proth number, since it is equal to 4725 ⋅ 2¹⁴ + 1 and 4725 < 2¹⁴.

Almost surely, 2^77414401 is an apocalyptic number.

It is an amenable number.

77414401 is a deficient number, since it is larger than the sum of its proper divisors (691199).

77414401 is a wasteful number, since it uses less digits than its factorization.

77414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679.

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 77414401 is about 8798.5453911428. The cubic root of 77414401 is about 426.1939226716.

Adding to 77414401 its reverse (10441477), we get a palindrome (87855878).

It can be divided in two parts, 77414 and 401, that added together give a triangular number (77815 = T₃₉₄).

The spelling of 77414401 in words is "seventy-seven million, four hundred fourteen thousand, four hundred one".