78401803200 has 252 divisors, whose sum is σ = 299219779512. Its totient is φ = 17920358400.

The previous prime is 78401803153. The next prime is 78401803213. The reversal of 78401803200 is 230810487.

It is a super-2 number, since 2×78401803200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68530 + ... + 401870.

Almost surely, 2^78401803200 is an apocalyptic number.

78401803200 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 78401803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149609889756).

78401803200 is an abundant number, since it is smaller than the sum of its proper divisors (220817976312).

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

78401803200 is a wasteful number, since it uses less digits than its factorization.

78401803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333380 (or 333358 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 78401803200 in words is "seventy-eight billion, four hundred one million, eight hundred three thousand, two hundred".