78632400 has 480 divisors, whose sum is σ = 336549888. Its totient is φ = 15206400.

The previous prime is 78632387. The next prime is 78632401. The reversal of 78632400 is 423687.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78632401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2125182 + ... + 2125218.

Almost surely, 2^78632400 is an apocalyptic number.

78632400 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 78632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168274944).

78632400 is an abundant number, since it is smaller than the sum of its proper divisors (257917488).

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

78632400 is a wasteful number, since it uses less digits than its factorization.

78632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 78632400 is about 8867.4911897334. The cubic root of 78632400 is about 428.4174748613.

The spelling of 78632400 in words is "seventy-eight million, six hundred thirty-two thousand, four hundred".