77361240 has 128 divisors (see below), whose sum is σ = 256089600. Its totient is φ = 18539520.

The previous prime is 77361233. The next prime is 77361287. The reversal of 77361240 is 4216377.

It is a super-2 number, since 2×77361240² = 11969522908675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 77361198 and 77361207.

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 31 ways as a sum of consecutive naturals, for example, 135676 + ... + 136244.

It is an arithmetic number, because the mean of its divisors is an integer number (2000700).

Almost surely, 2^77361240 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 77361240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128044800).

77361240 is an abundant number, since it is smaller than the sum of its proper divisors (178728360).

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

77361240 is a wasteful number, since it uses less digits than its factorization.

77361240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 77361240 is about 8795.5238616014. The cubic root of 77361240 is about 426.0963435690.

The spelling of 77361240 in words is "seventy-seven million, three hundred sixty-one thousand, two hundred forty".