78314900 has 18 divisors (see below), whose sum is σ = 169943550. Its totient is φ = 31325920.

The previous prime is 78314891. The next prime is 78314909. The reversal of 78314900 is 941387.

It is an interprime number because it is at equal distance from previous prime (78314891) and next prime (78314909).

It can be written as a sum of positive squares in 3 ways, for example, as 6370576 + 71944324 = 2524^2 + 8482^2 .

It is a super-2 number, since 2×78314900² = 12266447124020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78314909) 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, 391475 + ... + 391674.

Almost surely, 2^78314900 is an apocalyptic number.

It is an amenable number.

78314900 is an abundant number, since it is smaller than the sum of its proper divisors (91628650).

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

78314900 is a wasteful number, since it uses less digits than its factorization.

78314900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783163 (or 783156 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 78314900 is about 8849.5706110523. The cubic root of 78314900 is about 427.8400791303.

The spelling of 78314900 in words is "seventy-eight million, three hundred fourteen thousand, nine hundred".