78462384 has 320 divisors, whose sum is σ = 287981568. Its totient is φ = 17740800.

The previous prime is 78462367. The next prime is 78462421. The reversal of 78462384 is 48326487.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1105069 + ... + 1105139.

Almost surely, 2^78462384 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 78462384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990784).

78462384 is an abundant number, since it is smaller than the sum of its proper divisors (209519184).

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

78462384 is a wasteful number, since it uses less digits than its factorization.

78462384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 78462384 is about 8857.8995252825. The cubic root of 78462384 is about 428.1084827059.

The spelling of 78462384 in words is "seventy-eight million, four hundred sixty-two thousand, three hundred eighty-four".