77152860 has 72 divisors (see below), whose sum is σ = 237365856. Its totient is φ = 20280960.

The previous prime is 77152849. The next prime is 77152903. The reversal of 77152860 is 6825177.

77152860 is a `hidden beast` number, since 7 + 71 + 528 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9762 + ... + 15798.

It is an arithmetic number, because the mean of its divisors is an integer number (3296748).

Almost surely, 2^77152860 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 77152860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118682928).

77152860 is an abundant number, since it is smaller than the sum of its proper divisors (160212996).

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

77152860 is a wasteful number, since it uses less digits than its factorization.

77152860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6123 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 77152860 is about 8783.6700757713. The cubic root of 77152860 is about 425.7134222808.

The spelling of 77152860 in words is "seventy-seven million, one hundred fifty-two thousand, eight hundred sixty".