77780352 has 64 divisors (see below), whose sum is σ = 222510960. Its totient is φ = 23930880.

The previous prime is 77780341. The next prime is 77780359. The reversal of 77780352 is 25308777.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 77780352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77780359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2799 + ... + 12782.

Almost surely, 2^77780352 is an apocalyptic number.

It is an amenable number.

77780352 is an abundant number, since it is smaller than the sum of its proper divisors (144730608).

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

77780352 is a wasteful number, since it uses less digits than its factorization.

77780352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15611 (or 15599 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 77780352 is about 8819.3169803562. The cubic root of 77780352 is about 426.8644308896.

The spelling of 77780352 in words is "seventy-seven million, seven hundred eighty thousand, three hundred fifty-two".