800770080 has 192 divisors, whose sum is σ = 2816529408. Its totient is φ = 189557760.

The previous prime is 800770079. The next prime is 800770081. The reversal of 800770080 is 80077008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (800770079) and next prime (800770081).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (800770081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225277 + ... + 228803.

It is an arithmetic number, because the mean of its divisors is an integer number (14669424).

Almost surely, 2^800770080 is an apocalyptic number.

800770080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800770080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408264704).

800770080 is an abundant number, since it is smaller than the sum of its proper divisors (2015759328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

800770080 is a wasteful number, since it uses less digits than its factorization.

800770080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 800770080 is about 28297.8811927678. The cubic root of 800770080 is about 928.6155374257.

It can be divided in two parts, 8007 and 70080, that added together give a palindrome (78087).

The spelling of 800770080 in words is "eight hundred million, seven hundred seventy thousand, eighty".