77817696 has 96 divisors (see below), whose sum is σ = 226800000. Its totient is φ = 23162880.

The previous prime is 77817689. The next prime is 77817703. The reversal of 77817696 is 69671877.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77817689) and next prime (77817703).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61680 + ... + 62928.

It is an arithmetic number, because the mean of its divisors is an integer number (2362500).

Almost surely, 2^77817696 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 77817696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400000).

77817696 is an abundant number, since it is smaller than the sum of its proper divisors (148982304).

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

77817696 is a wasteful number, since it uses less digits than its factorization.

77817696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1324 counting only the distinct ones).

The product of its digits is 889056, while the sum is 51.

The square root of 77817696 is about 8821.4338970487. The cubic root of 77817696 is about 426.9327355210.

The spelling of 77817696 in words is "seventy-seven million, eight hundred seventeen thousand, six hundred ninety-six".