8826790401 has 135 divisors (see below), whose sum is σ = 15911937657. Its totient is φ = 4870419840.

The previous prime is 8826790393. The next prime is 8826790409. The reversal of 8826790401 is 1040976288.

The square root of 8826790401 is 93951.

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 (8826790393) and next prime (8826790409).

It can be written as a sum of positive squares in 4 ways, for example, as 887980401 + 7938810000 = 29799^2 + 89100^2 .

It is not a de Polignac number, because 8826790401 - 2³ = 8826790393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8826790409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 120914901 + ... + 120914973.

Almost surely, 2^8826790401 is an apocalyptic number.

8826790401 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8826790401 is the 93951-st square number.

8826790401 is the 46976-th centered octagonal number.

It is an amenable number.

8826790401 is a deficient number, since it is larger than the sum of its proper divisors (7085147256).

8826790401 is a wasteful number, since it uses less digits than its factorization.

8826790401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The cubic root of 8826790401 is about 2066.6531992041.

The spelling of 8826790401 in words is "eight billion, eight hundred twenty-six million, seven hundred ninety thousand, four hundred one".