77021532 has 108 divisors (see below), whose sum is σ = 231547680. Its totient is φ = 21514752.

The previous prime is 77021521. The next prime is 77021587. The reversal of 77021532 is 23512077.

It is a junction number, because it is equal to n+sod(n) for n = 77021496 and 77021505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82444 + ... + 83372.

It is an arithmetic number, because the mean of its divisors is an integer number (2143960).

Almost surely, 2^77021532 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 77021532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

77021532 is an abundant number, since it is smaller than the sum of its proper divisors (154526148).

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

77021532 is a wasteful number, since it uses less digits than its factorization.

77021532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 988 counting only the distinct ones).

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

The square root of 77021532 is about 8776.1912011988. The cubic root of 77021532 is about 425.4717382429.

The spelling of 77021532 in words is "seventy-seven million, twenty-one thousand, five hundred thirty-two".