72800078400 has 1008 divisors, whose sum is σ = 320273501184. Its totient is φ = 15902853120.

The previous prime is 72800078363. The next prime is 72800078431. The reversal of 72800078400 is 487000827.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×72800078400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62596219 + ... + 62597381.

It is an arithmetic number, because the mean of its divisors is an integer number (317731648).

Almost surely, 2^72800078400 is an apocalyptic number.

72800078400 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 72800078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160136750592).

72800078400 is an abundant number, since it is smaller than the sum of its proper divisors (247473422784).

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

72800078400 is a wasteful number, since it uses less digits than its factorization.

72800078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 72800078400 in words is "seventy-two billion, eight hundred million, seventy-eight thousand, four hundred".