77652540 has 96 divisors (see below), whose sum is σ = 276111360. Its totient is φ = 17748288.

The previous prime is 77652521. The next prime is 77652541. The reversal of 77652540 is 4525677.

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 = 77652495 and 77652504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77652541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6492 + ... + 14051.

It is an arithmetic number, because the mean of its divisors is an integer number (2876160).

Almost surely, 2^77652540 is an apocalyptic number.

77652540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77652540 is an abundant number, since it is smaller than the sum of its proper divisors (198458820).

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

77652540 is a wasteful number, since it uses less digits than its factorization.

77652540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20568 (or 20560 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 77652540 is about 8812.0678617451. The cubic root of 77652540 is about 426.6304887402.

The spelling of 77652540 in words is "seventy-seven million, six hundred fifty-two thousand, five hundred forty".