1233400770 has 240 divisors, whose sum is σ = 4027383360. Its totient is φ = 264586176.

The previous prime is 1233400757. The next prime is 1233400781. The reversal of 1233400770 is 770043321.

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 119 ways as a sum of consecutive naturals, for example, 11527057 + ... + 11527163.

It is an arithmetic number, because the mean of its divisors is an integer number (16780764).

Almost surely, 2^1233400770 is an apocalyptic number.

1233400770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1233400770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013691680).

1233400770 is an abundant number, since it is smaller than the sum of its proper divisors (2793982590).

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

1233400770 is a wasteful number, since it uses less digits than its factorization.

1233400770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 1233400770 is about 35119.8059504890. The cubic root of 1233400770 is about 1072.4278204639.

The spelling of 1233400770 in words is "one billion, two hundred thirty-three million, four hundred thousand, seven hundred seventy".