230777820 has 288 divisors, whose sum is σ = 877898112. Its totient is φ = 47775744.

The previous prime is 230777809. The next prime is 230777821. The reversal of 230777820 is 28777032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230777821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1195644 + ... + 1195836.

Almost surely, 2^230777820 is an apocalyptic number.

230777820 is a gapful number since it is divisible by the number (20) 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 230777820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438949056).

230777820 is an abundant number, since it is smaller than the sum of its proper divisors (647120292).

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

230777820 is a wasteful number, since it uses less digits than its factorization.

230777820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 230777820 is about 15191.3732098188. The cubic root of 230777820 is about 613.3824636395.

The spelling of 230777820 in words is "two hundred thirty million, seven hundred seventy-seven thousand, eight hundred twenty".