78338534400 has 1188 divisors, whose sum is σ = 339684305688. Its totient is φ = 17836277760.

The previous prime is 78338534333. The next prime is 78338534447. The reversal of 78338534400 is 443583387.

78338534400 is a `hidden beast` number, since 7 + 83 + 38 + 534 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×78338534400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 304819072 + ... + 304819328.

Almost surely, 2^78338534400 is an apocalyptic number.

78338534400 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 78338534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169842152844).

78338534400 is an abundant number, since it is smaller than the sum of its proper divisors (261345771288).

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

78338534400 is a wasteful number, since it uses less digits than its factorization.

78338534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 78338534400 in words is "seventy-eight billion, three hundred thirty-eight million, five hundred thirty-four thousand, four hundred".