367776 has 36 divisors (see below), whose sum is σ = 1046682. Its totient is φ = 122496.

The previous prime is 367771. The next prime is 367777. The reversal of 367776 is 677763.

367776 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 76176 = 540^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 367776.

It is not an unprimeable number, because it can be changed into a prime (367771) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 351 + ... + 926.

2³⁶⁷⁷⁷⁶ is an apocalyptic number.

367776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

367776 is an abundant number, since it is smaller than the sum of its proper divisors (678906).

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

367776 is a wasteful number, since it uses less digits than its factorization.

367776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1282 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 367776 is about 606.4453808877. The cubic root of 367776 is about 71.6464145648.

It can be divided in two parts, 36 and 7776, that multiplied together give a 7-th power (279936 = 6⁷).

The spelling of 367776 in words is "three hundred sixty-seven thousand, seven hundred seventy-six".