700505820 has 288 divisors, whose sum is σ = 2568384000. Its totient is φ = 156950784.

The previous prime is 700505777. The next prime is 700505843. The reversal of 700505820 is 28505007.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 2007006 + ... + 2007354.

It is an arithmetic number, because the mean of its divisors is an integer number (8918000).

Almost surely, 2^700505820 is an apocalyptic number.

700505820 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 700505820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284192000).

700505820 is an abundant number, since it is smaller than the sum of its proper divisors (1867878180).

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

700505820 is a wasteful number, since it uses less digits than its factorization.

700505820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 700505820 is about 26467.0704839051. The cubic root of 700505820 is about 888.1178167272.

The spelling of 700505820 in words is "seven hundred million, five hundred five thousand, eight hundred twenty".