78434064 has 120 divisors (see below), whose sum is σ = 229806720. Its totient is φ = 24950016.

The previous prime is 78434029. The next prime is 78434089. The reversal of 78434064 is 46043487.

78434064 = T₃₁₇ + T₃₁₈ + ... + T₇₉₄.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328057 + ... + 328295.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^78434064 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 78434064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

78434064 is an abundant number, since it is smaller than the sum of its proper divisors (151372656).

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

78434064 is a wasteful number, since it uses less digits than its factorization.

78434064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 78434064 is about 8856.3008078994. The cubic root of 78434064 is about 428.0569697363.

The spelling of 78434064 in words is "seventy-eight million, four hundred thirty-four thousand, sixty-four".