78787800 has 432 divisors, whose sum is σ = 336295440. Its totient is φ = 16174080.

The previous prime is 78787799. The next prime is 78787801. The reversal of 78787800 is 878787.

It is an interprime number because it is at equal distance from previous prime (78787799) and next prime (78787801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78787801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2129382 + ... + 2129418.

Almost surely, 2^78787800 is an apocalyptic number.

78787800 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 78787800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168147720).

78787800 is an abundant number, since it is smaller than the sum of its proper divisors (257507640).

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

78787800 is a wasteful number, since it uses less digits than its factorization.

78787800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The square root of 78787800 is about 8876.2492078580. The cubic root of 78787800 is about 428.6995140967.

The spelling of 78787800 in words is "seventy-eight million, seven hundred eighty-seven thousand, eight hundred".