78206700 has 144 divisors (see below), whose sum is σ = 265982976. Its totient is φ = 17491200.

The previous prime is 78206671. The next prime is 78206701. The reversal of 78206700 is 760287.

It is a super-2 number, since 2×78206700² = 12232575849780000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (78206701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41989 + ... + 43811.

It is an arithmetic number, because the mean of its divisors is an integer number (1847104).

Almost surely, 2^78206700 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 78206700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132991488).

78206700 is an abundant number, since it is smaller than the sum of its proper divisors (187776276).

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

78206700 is a wasteful number, since it uses less digits than its factorization.

78206700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 78206700 is about 8843.4552071009. The cubic root of 78206700 is about 427.6429534572.

Adding to 78206700 its reverse (760287), we get a palindrome (78966987).

The spelling of 78206700 in words is "seventy-eight million, two hundred six thousand, seven hundred".