73404900800 has 504 divisors, whose sum is σ = 234218366208. Its totient is φ = 22380288000.

The previous prime is 73404900791. The next prime is 73404900817. The reversal of 73404900800 is 800940437.

It is a super-2 number, since 2×73404900800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40531895 + ... + 40533705.

Almost surely, 2^73404900800 is an apocalyptic number.

73404900800 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 73404900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117109183104).

73404900800 is an abundant number, since it is smaller than the sum of its proper divisors (160813465408).

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

73404900800 is a wasteful number, since it uses less digits than its factorization.

73404900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 73404900800 in words is "seventy-three billion, four hundred four million, nine hundred thousand, eight hundred".