77723712 has 280 divisors, whose sum is σ = 265541760. Its totient is φ = 22256640.

The previous prime is 77723689. The next prime is 77723713. The reversal of 77723712 is 21732777.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77723713) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1653673 + ... + 1653719.

Almost surely, 2^77723712 is an apocalyptic number.

77723712 is a gapful number since it is divisible by the number (72) 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 77723712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132770880).

77723712 is an abundant number, since it is smaller than the sum of its proper divisors (187818048).

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

77723712 is a wasteful number, since it uses less digits than its factorization.

77723712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 92 counting only the distinct ones).

The product of its digits is 28812, while the sum is 36.

The square root of 77723712 is about 8816.1052625295. The cubic root of 77723712 is about 426.7607908663.

The spelling of 77723712 in words is "seventy-seven million, seven hundred twenty-three thousand, seven hundred twelve".