77539140 has 192 divisors, whose sum is σ = 280465920. Its totient is φ = 17418240.

The previous prime is 77539139. The next prime is 77539201. The reversal of 77539140 is 4193577.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 77539095 and 77539104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275800 + ... + 276080.

It is an arithmetic number, because the mean of its divisors is an integer number (1460760).

Almost surely, 2^77539140 is an apocalyptic number.

77539140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77539140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140232960).

77539140 is an abundant number, since it is smaller than the sum of its proper divisors (202926780).

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

77539140 is a wasteful number, since it uses less digits than its factorization.

77539140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 77539140 is about 8805.6311528476. The cubic root of 77539140 is about 426.4227107457.

The spelling of 77539140 in words is "seventy-seven million, five hundred thirty-nine thousand, one hundred forty".