78072408 has 96 divisors (see below), whose sum is σ = 221130000. Its totient is φ = 24853248.

The previous prime is 78072403. The next prime is 78072409. The reversal of 78072408 is 80427087.

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 (78072403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290098 + ... + 290366.

Almost surely, 2^78072408 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 78072408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110565000).

78072408 is an abundant number, since it is smaller than the sum of its proper divisors (143057592).

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

78072408 is a wasteful number, since it uses less digits than its factorization.

78072408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 78072408 is about 8835.8592111916. The cubic root of 78072408 is about 427.3980386773.

The spelling of 78072408 in words is "seventy-eight million, seventy-two thousand, four hundred eight".