807284640 has 192 divisors, whose sum is σ = 2647572480. Its totient is φ = 206545920.

The previous prime is 807284633. The next prime is 807284641. The reversal of 807284640 is 46482708.

It is a hoax number, since the sum of its digits (39) 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 (807284641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3377641 + ... + 3377879.

It is an arithmetic number, because the mean of its divisors is an integer number (13789440).

Almost surely, 2^807284640 is an apocalyptic number.

807284640 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 807284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323786240).

807284640 is an abundant number, since it is smaller than the sum of its proper divisors (1840287840).

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

807284640 is a wasteful number, since it uses less digits than its factorization.

807284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 807284640 is about 28412.7548822707. The cubic root of 807284640 is about 931.1269492535.

The spelling of 807284640 in words is "eight hundred seven million, two hundred eighty-four thousand, six hundred forty".