807648380 has 180 divisors, whose sum is σ = 2190494040. Its totient is φ = 249923520.

The previous prime is 807648379. The next prime is 807648407. The reversal of 807648380 is 83846708.

It is a happy number.

807648380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5810351 + ... + 5810489.

Almost surely, 2^807648380 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 807648380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095247020).

807648380 is an abundant number, since it is smaller than the sum of its proper divisors (1382845660).

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

807648380 is a wasteful number, since it uses less digits than its factorization.

807648380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 807648380 is about 28419.1551598565. The cubic root of 807648380 is about 931.2667748881.

The spelling of 807648380 in words is "eight hundred seven million, six hundred forty-eight thousand, three hundred eighty".