77076640 has 96 divisors (see below), whose sum is σ = 197588160. Its totient is φ = 28299264.

The previous prime is 77076631. The next prime is 77076641. The reversal of 77076640 is 4667077.

It is a self number, because there is not a number n which added to its sum of digits gives 77076640.

It is not an unprimeable number, because it can be changed into a prime (77076641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116631 + ... + 117289.

It is an arithmetic number, because the mean of its divisors is an integer number (2058210).

Almost surely, 2^77076640 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 77076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794080).

77076640 is an abundant number, since it is smaller than the sum of its proper divisors (120511520).

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

77076640 is a wasteful number, since it uses less digits than its factorization.

77076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The square root of 77076640 is about 8779.3302705844. The cubic root of 77076640 is about 425.5731873926.

The spelling of 77076640 in words is "seventy-seven million, seventy-six thousand, six hundred forty".