813918780 has 144 divisors (see below), whose sum is σ = 2575233024. Its totient is φ = 215784000.

The previous prime is 813918761. The next prime is 813918799. The reversal of 813918780 is 87819318.

It is an interprime number because it is at equal distance from previous prime (813918761) and next prime (813918799).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1083405 + ... + 1084155.

Almost surely, 2^813918780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813918780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287616512).

813918780 is an abundant number, since it is smaller than the sum of its proper divisors (1761314244).

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

813918780 is a wasteful number, since it uses less digits than its factorization.

813918780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 813918780 is about 28529.2618201032. The cubic root of 813918780 is about 933.6706130795.

The spelling of 813918780 in words is "eight hundred thirteen million, nine hundred eighteen thousand, seven hundred eighty".