77540742 has 24 divisors (see below), whose sum is σ = 168553944. Its totient is φ = 25762464.

The previous prime is 77540737. The next prime is 77540753. The reversal of 77540742 is 24704577.

It is a happy number.

77540742 is a `hidden beast` number, since 77 + 540 + 7 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 77540697 and 77540706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1248 + ... + 12515.

It is an arithmetic number, because the mean of its divisors is an integer number (7023081).

Almost surely, 2^77540742 is an apocalyptic number.

77540742 is an abundant number, since it is smaller than the sum of its proper divisors (91013202).

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

77540742 is a wasteful number, since it uses less digits than its factorization.

77540742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14084 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 77540742 is about 8805.7221168965. The cubic root of 77540742 is about 426.4256474323.

The spelling of 77540742 in words is "seventy-seven million, five hundred forty thousand, seven hundred forty-two".