807791040 has 336 divisors, whose sum is σ = 3363602112. Its totient is φ = 173703168.

The previous prime is 807791029. The next prime is 807791051. The reversal of 807791040 is 40197708.

It is an interprime number because it is at equal distance from previous prime (807791029) and next prime (807791051).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 807790986 and 807791004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341542 + ... + 343898.

Almost surely, 2^807791040 is an apocalyptic number.

807791040 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 807791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681801056).

807791040 is an abundant number, since it is smaller than the sum of its proper divisors (2555811072).

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

807791040 is a wasteful number, since it uses less digits than its factorization.

807791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 807791040 is about 28421.6649758595. The cubic root of 807791040 is about 931.3216034909.

The spelling of 807791040 in words is "eight hundred seven million, seven hundred ninety-one thousand, forty".