77496384 has 168 divisors, whose sum is σ = 247213120. Its totient is φ = 20984832.

The previous prime is 77496337. The next prime is 77496427. The reversal of 77496384 is 48369477.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1016064) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710922 + ... + 711030.

Almost surely, 2^77496384 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 77496384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123606560).

77496384 is an abundant number, since it is smaller than the sum of its proper divisors (169716736).

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

77496384 is a wasteful number, since it uses less digits than its factorization.

77496384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 144 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 77496384 is about 8803.2030534346. The cubic root of 77496384 is about 426.3443181576.

The spelling of 77496384 in words is "seventy-seven million, four hundred ninety-six thousand, three hundred eighty-four".