77463540 has 384 divisors, whose sum is σ = 317399040. Its totient is φ = 15396480.

The previous prime is 77463539. The next prime is 77463541. The reversal of 77463540 is 4536477.

77463540 is a `hidden beast` number, since 77 + 46 + 3 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (77463539) and next prime (77463541).

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 = 77463495 and 77463504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77463541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3367969 + ... + 3367991.

It is an arithmetic number, because the mean of its divisors is an integer number (826560).

Almost surely, 2^77463540 is an apocalyptic number.

77463540 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 77463540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158699520).

77463540 is an abundant number, since it is smaller than the sum of its proper divisors (239935500).

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

77463540 is a wasteful number, since it uses less digits than its factorization.

77463540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 77463540 is about 8801.3373983730. The cubic root of 77463540 is about 426.2840795128.

The spelling of 77463540 in words is "seventy-seven million, four hundred sixty-three thousand, five hundred forty".