807406380 has 216 divisors, whose sum is σ = 2793759696. Its totient is φ = 195592320.

The previous prime is 807406361. The next prime is 807406393. The reversal of 807406380 is 83604708.

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 71 ways as a sum of consecutive naturals, for example, 587374 + ... + 588746.

Almost surely, 2^807406380 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 807406380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396879848).

807406380 is an abundant number, since it is smaller than the sum of its proper divisors (1986353316).

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

807406380 is a wasteful number, since it uses less digits than its factorization.

807406380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 807406380 is about 28414.8971492068. The cubic root of 807406380 is about 931.1737521165.

The spelling of 807406380 in words is "eight hundred seven million, four hundred six thousand, three hundred eighty".