78132400 has 60 divisors (see below), whose sum is σ = 193799104. Its totient is φ = 30240000.

The previous prime is 78132371. The next prime is 78132407. The reversal of 78132400 is 423187.

It is a super-2 number, since 2×78132400² = 12209343859520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (78132407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9250 + ... + 15550.

Almost surely, 2^78132400 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 78132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96899552).

78132400 is an abundant number, since it is smaller than the sum of its proper divisors (115666704).

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

78132400 is a wasteful number, since it uses less digits than its factorization.

78132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6350 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 78132400 is about 8839.2533621342. The cubic root of 78132400 is about 427.5074836532.

Adding to 78132400 its reverse (423187), we get a palindrome (78555587).

The spelling of 78132400 in words is "seventy-eight million, one hundred thirty-two thousand, four hundred".