78532416 has 70 divisors (see below), whose sum is σ = 232810050. Its totient is φ = 26175744.

The previous prime is 78532411. The next prime is 78532427. The reversal of 78532416 is 61423587.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 6350400 = 8496^2 + 2520^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78532411) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2391 + ... + 12758.

Almost surely, 2^78532416 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 78532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116405025).

78532416 is an abundant number, since it is smaller than the sum of its proper divisors (154277634).

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

78532416 is a wasteful number, since it uses less digits than its factorization.

78532416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15173 (or 15154 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 78532416 is about 8861.8517252321. The cubic root of 78532416 is about 428.2358149644.

The spelling of 78532416 in words is "seventy-eight million, five hundred thirty-two thousand, four hundred sixteen".