78494400 has 336 divisors, whose sum is σ = 302361600. Its totient is φ = 19768320.

The previous prime is 78494399. The next prime is 78494401. The reversal of 78494400 is 449487.

It is an interprime number because it is at equal distance from previous prime (78494399) and next prime (78494401).

It is a super-2 number, since 2×78494400² = 12322741662720000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78494401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 993561 + ... + 993639.

Almost surely, 2^78494400 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 78494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151180800).

78494400 is an abundant number, since it is smaller than the sum of its proper divisors (223867200).

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

78494400 is a wasteful number, since it uses less digits than its factorization.

78494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 78494400 is about 8859.7065414155. The cubic root of 78494400 is about 428.1667036293.

The spelling of 78494400 in words is "seventy-eight million, four hundred ninety-four thousand, four hundred".