77140896 has 216 divisors, whose sum is σ = 254185344. Its totient is φ = 20401920.

The previous prime is 77140859. The next prime is 77140897. The reversal of 77140896 is 69804177.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (77140897) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2488401 + ... + 2488431.

It is an arithmetic number, because the mean of its divisors is an integer number (1176784).

Almost surely, 2^77140896 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 77140896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127092672).

77140896 is an abundant number, since it is smaller than the sum of its proper divisors (177044448).

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

77140896 is a wasteful number, since it uses less digits than its factorization.

77140896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 77140896 is about 8782.9890128589. The cubic root of 77140896 is about 425.6914161894.

The spelling of 77140896 in words is "seventy-seven million, one hundred forty thousand, eight hundred ninety-six".