77652740 has 48 divisors (see below), whose sum is σ = 178536960. Its totient is φ = 28135680.

The previous prime is 77652733. The next prime is 77652779. The reversal of 77652740 is 4725677.

It is a junction number, because it is equal to n+sod(n) for n = 77652694 and 77652703.

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, 89549 + ... + 90411.

It is an arithmetic number, because the mean of its divisors is an integer number (3719520).

Almost surely, 2^77652740 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 77652740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89268480).

77652740 is an abundant number, since it is smaller than the sum of its proper divisors (100884220).

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

77652740 is a wasteful number, since it uses less digits than its factorization.

77652740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 77652740 is about 8812.0792098119. The cubic root of 77652740 is about 426.6308550129.

The spelling of 77652740 in words is "seventy-seven million, six hundred fifty-two thousand, seven hundred forty".