78344564 has 36 divisors (see below), whose sum is σ = 143885700. Its totient is φ = 37319040.

The previous prime is 78344561. The next prime is 78344569. The reversal of 78344564 is 46544387.

It can be written as a sum of positive squares in 2 ways, for example, as 46512400 + 31832164 = 6820^2 + 5642^2 .

It is a super-2 number, since 2×78344564² = 12275741416700192, which contains 22 as substring.

Its product of digits (322560) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78344561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342002 + ... + 342230.

It is an arithmetic number, because the mean of its divisors is an integer number (3996825).

Almost surely, 2^78344564 is an apocalyptic number.

It is an amenable number.

78344564 is a deficient number, since it is larger than the sum of its proper divisors (65541136).

78344564 is a wasteful number, since it uses less digits than its factorization.

78344564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 351 counting only the distinct ones).

The product of its digits is 322560, while the sum is 41.

The square root of 78344564 is about 8851.2464658939. The cubic root of 78344564 is about 427.8940911851.

The spelling of 78344564 in words is "seventy-eight million, three hundred forty-four thousand, five hundred sixty-four".