806678640 has 120 divisors (see below), whose sum is σ = 2753657088. Its totient is φ = 211576320.

The previous prime is 806678633. The next prime is 806678647. The reversal of 806678640 is 46876608.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (806678633) and next prime (806678647).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806678647) 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, 34737 + ... + 53103.

Almost surely, 2^806678640 is an apocalyptic number.

806678640 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 806678640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376828544).

806678640 is an abundant number, since it is smaller than the sum of its proper divisors (1946978448).

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

806678640 is a wasteful number, since it uses less digits than its factorization.

806678640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18447 (or 18438 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 806678640 is about 28402.0886555901. The cubic root of 806678640 is about 930.8939029181.

The spelling of 806678640 in words is "eight hundred six million, six hundred seventy-eight thousand, six hundred forty".