78743400 has 96 divisors (see below), whose sum is σ = 250772640. Its totient is φ = 20424960.

The previous prime is 78743393. The next prime is 78743407. The reversal of 78743400 is 434787.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78743393) and next prime (78743407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78743407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20427 + ... + 23973.

It is an arithmetic number, because the mean of its divisors is an integer number (2612215).

Almost surely, 2^78743400 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 78743400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125386320).

78743400 is an abundant number, since it is smaller than the sum of its proper divisors (172029240).

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

78743400 is a wasteful number, since it uses less digits than its factorization.

78743400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 78743400 is about 8873.7477989855. The cubic root of 78743400 is about 428.6189693294.

The spelling of 78743400 in words is "seventy-eight million, seven hundred forty-three thousand, four hundred".