78611904 has 224 divisors, whose sum is σ = 270824960. Its totient is φ = 21897216.

The previous prime is 78611903. The next prime is 78611909. The reversal of 78611904 is 40911687.

78611904 = T₂₁₇ + T₂₁₈ + ... + T₇₈₃.

It is a tau number, because it is divible by the number of its divisors (224).

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 (78611903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810384 + ... + 810480.

It is an arithmetic number, because the mean of its divisors is an integer number (1209040).

Almost surely, 2^78611904 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 78611904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135412480).

78611904 is an abundant number, since it is smaller than the sum of its proper divisors (192213056).

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

78611904 is a wasteful number, since it uses less digits than its factorization.

78611904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 78611904 is about 8866.3354324095. The cubic root of 78611904 is about 428.3802484440.

The spelling of 78611904 in words is "seventy-eight million, six hundred eleven thousand, nine hundred four".