76362048 has 224 divisors, whose sum is σ = 263347200. Its totient is φ = 21247488.

The previous prime is 76361993. The next prime is 76362067. The reversal of 76362048 is 84026367.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713611 + ... + 713717.

Almost surely, 2^76362048 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 76362048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131673600).

76362048 is an abundant number, since it is smaller than the sum of its proper divisors (186985152).

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

76362048 is a wasteful number, since it uses less digits than its factorization.

76362048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 76362048 is about 8738.5380928391. The cubic root of 76362048 is about 424.2539122315.

The spelling of 76362048 in words is "seventy-six million, three hundred sixty-two thousand, forty-eight".