77732040 has 128 divisors (see below), whose sum is σ = 248601600. Its totient is φ = 19388160.

The previous prime is 77732033. The next prime is 77732047. The reversal of 77732040 is 4023777.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77732033) and next prime (77732047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 77731989 and 77732007.

It is not an unprimeable number, because it can be changed into a prime (77732047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234675 + ... + 235005.

It is an arithmetic number, because the mean of its divisors is an integer number (1942200).

Almost surely, 2^77732040 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 77732040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124300800).

77732040 is an abundant number, since it is smaller than the sum of its proper divisors (170869560).

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

77732040 is a wasteful number, since it uses less digits than its factorization.

77732040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 30.

The square root of 77732040 is about 8816.5775672877. The cubic root of 77732040 is about 426.7760326196.

The spelling of 77732040 in words is "seventy-seven million, seven hundred thirty-two thousand, forty".