77864700 has 72 divisors (see below), whose sum is σ = 226343152. Its totient is φ = 20666880.

The previous prime is 77864693. The next prime is 77864711. The reversal of 77864700 is 746877.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82632 + ... + 83568.

Almost surely, 2^77864700 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 77864700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113171576).

77864700 is an abundant number, since it is smaller than the sum of its proper divisors (148478452).

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

77864700 is a wasteful number, since it uses less digits than its factorization.

77864700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1224 counting only the distinct ones).

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

The square root of 77864700 is about 8824.0976875826. The cubic root of 77864700 is about 427.0186778719.

The spelling of 77864700 in words is "seventy-seven million, eight hundred sixty-four thousand, seven hundred".