77881032 has 24 divisors (see below), whose sum is σ = 210927990. Its totient is φ = 25960320.

The previous prime is 77881007. The next prime is 77881039. The reversal of 77881032 is 23018877.

It can be written as a sum of positive squares in only one way, i.e., 39614436 + 38266596 = 6294^2 + 6186^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77881039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 540769 + ... + 540912.

Almost surely, 2^77881032 is an apocalyptic number.

77881032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77881032 is an abundant number, since it is smaller than the sum of its proper divisors (133046958).

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

77881032 is a wasteful number, since it uses less digits than its factorization.

77881032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081693 (or 1081686 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 77881032 is about 8825.0230594600. The cubic root of 77881032 is about 427.0485312864.

It can be divided in two parts, 778 and 81032, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 77881032 in words is "seventy-seven million, eight hundred eighty-one thousand, thirty-two".