78332400 has 120 divisors (see below), whose sum is σ = 278843760. Its totient is φ = 20885760.

The previous prime is 78332399. The next prime is 78332437. The reversal of 78332400 is 423387.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×78332400² = 12271929779520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7174 + ... + 14426.

It is an arithmetic number, because the mean of its divisors is an integer number (2323698).

Almost surely, 2^78332400 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 78332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139421880).

78332400 is an abundant number, since it is smaller than the sum of its proper divisors (200511360).

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

78332400 is a wasteful number, since it uses less digits than its factorization.

78332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 78332400 is about 8850.5593043604. The cubic root of 78332400 is about 427.8719446874.

Adding to 78332400 its reverse (423387), we get a palindrome (78755787).

The spelling of 78332400 in words is "seventy-eight million, three hundred thirty-two thousand, four hundred".