788800401 has 6 divisors (see below), whose sum is σ = 1139378370. Its totient is φ = 525866928.

The previous prime is 788800393. The next prime is 788800403. The reversal of 788800401 is 104008887.

It can be written as a sum of positive squares in only one way, i.e., 678550401 + 110250000 = 26049^2 + 10500^2 .

It is not a de Polignac number, because 788800401 - 2³ = 788800393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (788800403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43822236 + ... + 43822253.

It is an arithmetic number, because the mean of its divisors is an integer number (189896395).

Almost surely, 2^788800401 is an apocalyptic number.

It is an amenable number.

788800401 is a deficient number, since it is larger than the sum of its proper divisors (350577969).

788800401 is a wasteful number, since it uses less digits than its factorization.

788800401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87644495 (or 87644492 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 788800401 is about 28085.5906293601. The cubic root of 788800401 is about 923.9653982938.

The spelling of 788800401 in words is "seven hundred eighty-eight million, eight hundred thousand, four hundred one".