806962080 has 96 divisors (see below), whose sum is σ = 2601111744. Its totient is φ = 210180096.

The previous prime is 806962067. The next prime is 806962081. The reversal of 806962080 is 80269608.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (806962081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092 + ... + 40188.

It is an arithmetic number, because the mean of its divisors is an integer number (27094914).

Almost surely, 2^806962080 is an apocalyptic number.

806962080 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 806962080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300555872).

806962080 is an abundant number, since it is smaller than the sum of its proper divisors (1794149664).

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

806962080 is a wasteful number, since it uses less digits than its factorization.

806962080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39158 (or 39150 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 806962080 is about 28407.0779912331. The cubic root of 806962080 is about 931.0029185193.

The spelling of 806962080 in words is "eight hundred six million, nine hundred sixty-two thousand, eighty".