1233070080 has 384 divisors, whose sum is σ = 4457980800. Its totient is φ = 288358400.

The previous prime is 1233070079. The next prime is 1233070081. The reversal of 1233070080 is 800703321.

It is an interprime number because it is at equal distance from previous prime (1233070079) and next prime (1233070081).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1233070080.

It is not an unprimeable number, because it can be changed into a prime (1233070081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13854676 + ... + 13854764.

It is an arithmetic number, because the mean of its divisors is an integer number (11609325).

Almost surely, 2^1233070080 is an apocalyptic number.

1233070080 is a gapful number since it is divisible by the number (10) 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 1233070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228990400).

1233070080 is an abundant number, since it is smaller than the sum of its proper divisors (3224910720).

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

1233070080 is a wasteful number, since it uses less digits than its factorization.

1233070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1233070080 is about 35115.0976077242. The cubic root of 1233070080 is about 1072.3319681765.

The spelling of 1233070080 in words is "one billion, two hundred thirty-three million, seventy thousand, eighty".