800980480 has 80 divisors (see below), whose sum is σ = 1982623104. Its totient is φ = 310026240.

The previous prime is 800980471. The next prime is 800980487. The reversal of 800980480 is 84089008.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800980487) 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, 74314 + ... + 84406.

Almost surely, 2^800980480 is an apocalyptic number.

800980480 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 800980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991311552).

800980480 is an abundant number, since it is smaller than the sum of its proper divisors (1181642624).

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

800980480 is a wasteful number, since it uses less digits than its factorization.

800980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10147 (or 10131 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 800980480 is about 28301.5985414252. The cubic root of 800980480 is about 928.6968606438.

The spelling of 800980480 in words is "eight hundred million, nine hundred eighty thousand, four hundred eighty".