799766240 has 384 divisors, whose sum is σ = 2540160000. Its totient is φ = 235726848.

The previous prime is 799766167. The next prime is 799766243. The reversal of 799766240 is 42667997.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (799766243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13555331 + ... + 13555389.

It is an arithmetic number, because the mean of its divisors is an integer number (6615000).

Almost surely, 2^799766240 is an apocalyptic number.

799766240 is a gapful number since it is divisible by the number (70) 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 799766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080000).

799766240 is an abundant number, since it is smaller than the sum of its proper divisors (1740393760).

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

799766240 is a wasteful number, since it uses less digits than its factorization.

799766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The square root of 799766240 is about 28280.1386135217. The cubic root of 799766240 is about 928.2273397639.

The spelling of 799766240 in words is "seven hundred ninety-nine million, seven hundred sixty-six thousand, two hundred forty".