807081480 has 96 divisors (see below), whose sum is σ = 2626729560. Its totient is φ = 214917120.

The previous prime is 807081479. The next prime is 807081533. The reversal of 807081480 is 84180708.

It can be written as a sum of positive squares in 4 ways, for example, as 423783396 + 383298084 = 20586^2 + 19578^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380904 + ... + 383016.

Almost surely, 2^807081480 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 807081480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313364780).

807081480 is an abundant number, since it is smaller than the sum of its proper divisors (1819648080).

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

807081480 is a wasteful number, since it uses less digits than its factorization.

807081480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 807081480 is about 28409.1795024073. The cubic root of 807081480 is about 931.0488340458.

The spelling of 807081480 in words is "eight hundred seven million, eighty-one thousand, four hundred eighty".