77000652 has 96 divisors (see below), whose sum is σ = 208947200. Its totient is φ = 24494400.

The previous prime is 77000647. The next prime is 77000653. The reversal of 77000652 is 25600077.

77000652 is a `hidden beast` number, since 7 + 7 + 0 + 0 + 0 + 652 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77000653) 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, 364827 + ... + 365037.

Almost surely, 2^77000652 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 77000652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104473600).

77000652 is an abundant number, since it is smaller than the sum of its proper divisors (131946548).

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

77000652 is a wasteful number, since it uses less digits than its factorization.

77000652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 77000652 is about 8775.0015384614. The cubic root of 77000652 is about 425.4332872948.

Subtracting from 77000652 its sum of digits (27), we obtain a square (77000625 = 8775²).

The spelling of 77000652 in words is "seventy-seven million, six hundred fifty-two", and thus it is an aban number.