230777395200 has 648 divisors, whose sum is σ = 908679926700. Its totient is φ = 55932518400.

The previous prime is 230777395187. The next prime is 230777395217. The reversal of 230777395200 is 2593777032.

230777395200 is a `hidden beast` number, since 23 + 0 + 7 + 77 + 39 + 520 + 0 = 666.

It is a super-2 number, since 2×230777395200² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 55754731 + ... + 55758869.

Almost surely, 2^230777395200 is an apocalyptic number.

230777395200 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 230777395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454339963350).

230777395200 is an abundant number, since it is smaller than the sum of its proper divisors (677902531500).

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

230777395200 is a wasteful number, since it uses less digits than its factorization.

230777395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 230777395200 in words is "two hundred thirty billion, seven hundred seventy-seven million, three hundred ninety-five thousand, two hundred".