78372400 has 30 divisors (see below), whose sum is σ = 188290652. Its totient is φ = 31348800.

The previous prime is 78372389. The next prime is 78372403. The reversal of 78372400 is 427387.

It is a super-2 number, since 2×78372400² = 12284466163520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78372403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97566 + ... + 98365.

Almost surely, 2^78372400 is an apocalyptic number.

It is an amenable number.

78372400 is an abundant number, since it is smaller than the sum of its proper divisors (109918252).

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

78372400 is a wasteful number, since it uses less digits than its factorization.

78372400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195949 (or 195938 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 78372400 is about 8852.8187601464. The cubic root of 78372400 is about 427.9447624291.

Adding to 78372400 its reverse (427387), we get a palindrome (78799787).

The spelling of 78372400 in words is "seventy-eight million, three hundred seventy-two thousand, four hundred".