74780133120 has 2880 divisors, whose sum is σ = 384638284800. Its totient is φ = 13377208320.

The previous prime is 74780133119. The next prime is 74780133121. The reversal of 74780133120 is 2133108747.

It is an interprime number because it is at equal distance from previous prime (74780133119) and next prime (74780133121).

It is a tau number, because it is divible by the number of its divisors (2880).

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 (74780133121) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2578625266 + ... + 2578625294.

It is an arithmetic number, because the mean of its divisors is an integer number (133554960).

Almost surely, 2^74780133120 is an apocalyptic number.

74780133120 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 74780133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192319142400).

74780133120 is an abundant number, since it is smaller than the sum of its proper divisors (309858151680).

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

74780133120 is a wasteful number, since it uses less digits than its factorization.

74780133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 74780133120 in words is "seventy-four billion, seven hundred eighty million, one hundred thirty-three thousand, one hundred twenty".