76953448 has 64 divisors (see below), whose sum is σ = 171097920. Its totient is φ = 31987200.

The previous prime is 76953427. The next prime is 76953473. The reversal of 76953448 is 84435967.

It is a junction number, because it is equal to n+sod(n) for n = 76953398 and 76953407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156483 + ... + 156973.

It is an arithmetic number, because the mean of its divisors is an integer number (2673405).

Almost surely, 2^76953448 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 76953448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85548960).

76953448 is an abundant number, since it is smaller than the sum of its proper divisors (94144472).

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

76953448 is a wasteful number, since it uses less digits than its factorization.

76953448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 654 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 76953448 is about 8772.3114399798. The cubic root of 76953448 is about 425.3463345333.

The spelling of 76953448 in words is "seventy-six million, nine hundred fifty-three thousand, four hundred forty-eight".