73478890800 has 900 divisors, whose sum is σ = 316872236736. Its totient is φ = 16242508800.

The previous prime is 73478890799. The next prime is 73478890813. The reversal of 73478890800 is 809887437.

73478890800 is a `hidden beast` number, since 7 + 3 + 478 + 8 + 90 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 49214854 + ... + 49216346.

Almost surely, 2^73478890800 is an apocalyptic number.

73478890800 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 73478890800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158436118368).

73478890800 is an abundant number, since it is smaller than the sum of its proper divisors (243393345936).

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

73478890800 is a wasteful number, since it uses less digits than its factorization.

73478890800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 73478890800 in words is "seventy-three billion, four hundred seventy-eight million, eight hundred ninety thousand, eight hundred".