77723680 has 96 divisors (see below), whose sum is σ = 198797760. Its totient is φ = 28615680.

The previous prime is 77723671. The next prime is 77723687. The reversal of 77723680 is 8632777.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77723687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112135 + ... + 112825.

It is an arithmetic number, because the mean of its divisors is an integer number (2070810).

Almost surely, 2^77723680 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 77723680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99398880).

77723680 is an abundant number, since it is smaller than the sum of its proper divisors (121074080).

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

77723680 is a wasteful number, since it uses less digits than its factorization.

77723680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 77723680 is about 8816.1034476689. The cubic root of 77723680 is about 426.7607322984.

The spelling of 77723680 in words is "seventy-seven million, seven hundred twenty-three thousand, six hundred eighty".