813207780 has 288 divisors, whose sum is σ = 3210375168. Its totient is φ = 161568000.

The previous prime is 813207761. The next prime is 813207827. The reversal of 813207780 is 87702318.

It is a super-3 number, since 3×813207780³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317505 + ... + 320055.

It is an arithmetic number, because the mean of its divisors is an integer number (11147136).

Almost surely, 2^813207780 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 813207780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605187584).

813207780 is an abundant number, since it is smaller than the sum of its proper divisors (2397167388).

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

813207780 is a wasteful number, since it uses less digits than its factorization.

813207780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 813207780 is about 28516.7982073724. The cubic root of 813207780 is about 933.3986640777.

The spelling of 813207780 in words is "eight hundred thirteen million, two hundred seven thousand, seven hundred eighty".