77096448 has 300 divisors, whose sum is σ = 271827468. Its totient is φ = 21565440.

The previous prime is 77096423. The next prime is 77096449. The reversal of 77096448 is 84469077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77096449) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5930490 + ... + 5930502.

Almost surely, 2^77096448 is an apocalyptic number.

77096448 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77096448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135913734).

77096448 is an abundant number, since it is smaller than the sum of its proper divisors (194731020).

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

77096448 is a wasteful number, since it uses less digits than its factorization.

77096448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 77096448 is about 8780.4583023895. The cubic root of 77096448 is about 425.6096404246.

The spelling of 77096448 in words is "seventy-seven million, ninety-six thousand, four hundred forty-eight".