800772480 has 384 divisors, whose sum is σ = 3029644800. Its totient is φ = 201553920.

The previous prime is 800772451. The next prime is 800772487. The reversal of 800772480 is 84277008.

800772480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800772487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2954745 + ... + 2955015.

It is an arithmetic number, because the mean of its divisors is an integer number (7889700).

Almost surely, 2^800772480 is an apocalyptic number.

800772480 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 800772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514822400).

800772480 is an abundant number, since it is smaller than the sum of its proper divisors (2228872320).

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

800772480 is a wasteful number, since it uses less digits than its factorization.

800772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 800772480 is about 28297.9235987378. The cubic root of 800772480 is about 928.6164651473.

The spelling of 800772480 in words is "eight hundred million, seven hundred seventy-two thousand, four hundred eighty".