77913540 has 72 divisors (see below), whose sum is σ = 243979008. Its totient is φ = 20105280.

The previous prime is 77913529. The next prime is 77913541. The reversal of 77913540 is 4531977.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 77913495 and 77913504.

It is not an unprimeable number, because it can be changed into a prime (77913541) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1402 + ... + 12561.

Almost surely, 2^77913540 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 77913540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121989504).

77913540 is an abundant number, since it is smaller than the sum of its proper divisors (166065468).

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

77913540 is a wasteful number, since it uses less digits than its factorization.

77913540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14009 (or 14004 counting only the distinct ones).

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

The square root of 77913540 is about 8826.8646755232. The cubic root of 77913540 is about 427.1079405427.

The spelling of 77913540 in words is "seventy-seven million, nine hundred thirteen thousand, five hundred forty".