78023400 has 192 divisors, whose sum is σ = 297897600. Its totient is φ = 16450560.

The previous prime is 78023389. The next prime is 78023441. The reversal of 78023400 is 432087.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53886 + ... + 55314.

It is an arithmetic number, because the mean of its divisors is an integer number (1551550).

Almost surely, 2^78023400 is an apocalyptic number.

78023400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148948800).

78023400 is an abundant number, since it is smaller than the sum of its proper divisors (219874200).

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

78023400 is a wasteful number, since it uses less digits than its factorization.

78023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 78023400 is about 8833.0855311154. The cubic root of 78023400 is about 427.3085904847.

Adding to 78023400 its reverse (432087), we get a palindrome (78455487).

The spelling of 78023400 in words is "seventy-eight million, twenty-three thousand, four hundred".