807042862080 has 528 divisors, whose sum is σ = 3441719421504. Its totient is φ = 170276290560.

The previous prime is 807042862051. The next prime is 807042862097. The reversal of 807042862080 is 80268240708.

It is a happy number.

807042862080 is a `hidden beast` number, since 80 + 70 + 428 + 6 + 2 + 0 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4097050 + ... + 4289510.

Almost surely, 2^807042862080 is an apocalyptic number.

807042862080 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 807042862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720859710752).

807042862080 is an abundant number, since it is smaller than the sum of its proper divisors (2634676559424).

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

807042862080 is a wasteful number, since it uses less digits than its factorization.

807042862080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192512 (or 192491 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 807042862080 in words is "eight hundred seven billion, forty-two million, eight hundred sixty-two thousand, eighty".