1480800776 has 96 divisors (see below), whose sum is σ = 3683073240. Its totient is φ = 551319552.

The previous prime is 1480800773. The next prime is 1480800781. The reversal of 1480800776 is 6770080841.

It can be written as a sum of positive squares in 4 ways, for example, as 1239744100 + 241056676 = 35210^2 + 15526^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1480800773) 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 23 ways as a sum of consecutive naturals, for example, 78086 + ... + 95178.

Almost surely, 2^1480800776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480800776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841536620).

1480800776 is an abundant number, since it is smaller than the sum of its proper divisors (2202272464).

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

1480800776 is a wasteful number, since it uses less digits than its factorization.

1480800776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17143 (or 17132 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 1480800776 is about 38481.1743064060. The cubic root of 1480800776 is about 1139.8093392030.

The spelling of 1480800776 in words is "one billion, four hundred eighty million, eight hundred thousand, seven hundred seventy-six".