78374400 has 240 divisors, whose sum is σ = 280596624. Its totient is φ = 19169280.

The previous prime is 78374393. The next prime is 78374419. The reversal of 78374400 is 447387.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×78374400² = 12285093150720000, which 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499122 + ... + 499278.

Almost surely, 2^78374400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140298312).

78374400 is an abundant number, since it is smaller than the sum of its proper divisors (202222224).

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

78374400 is a wasteful number, since it uses less digits than its factorization.

78374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 78374400 is about 8852.9317177983. The cubic root of 78374400 is about 427.9484026657.

The spelling of 78374400 in words is "seventy-eight million, three hundred seventy-four thousand, four hundred".