77007864 has 64 divisors (see below), whose sum is σ = 204272640. Its totient is φ = 24140160.

The previous prime is 77007863. The next prime is 77007869. The reversal of 77007864 is 46870077.

It is a happy number.

It is a super-2 number, since 2×77007864² = 11860422235684992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77007863) 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, 32529 + ... + 34815.

It is an arithmetic number, because the mean of its divisors is an integer number (3191760).

Almost surely, 2^77007864 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 77007864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102136320).

77007864 is an abundant number, since it is smaller than the sum of its proper divisors (127264776).

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

77007864 is a wasteful number, since it uses less digits than its factorization.

77007864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 77007864 is about 8775.4124689384. The cubic root of 77007864 is about 425.4465691264.

The spelling of 77007864 in words is "seventy-seven million, seven thousand, eight hundred sixty-four".