78701400 has 144 divisors (see below), whose sum is σ = 275942160. Its totient is φ = 20064000.

The previous prime is 78701369. The next prime is 78701411. The reversal of 78701400 is 410787.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40450 + ... + 42350.

It is an arithmetic number, because the mean of its divisors is an integer number (1916265).

Almost surely, 2^78701400 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 78701400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137971080).

78701400 is an abundant number, since it is smaller than the sum of its proper divisors (197240760).

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

78701400 is a wasteful number, since it uses less digits than its factorization.

78701400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 78701400 is about 8871.3809522531. The cubic root of 78701400 is about 428.5427504620.

The spelling of 78701400 in words is "seventy-eight million, seven hundred one thousand, four hundred".