73777320 has 96 divisors (see below), whose sum is σ = 241113600. Its totient is φ = 19564416.

The previous prime is 73777271. The next prime is 73777337. The reversal of 73777320 is 2377737.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 79821 + ... + 80739.

It is an arithmetic number, because the mean of its divisors is an integer number (2511600).

Almost surely, 2^73777320 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 73777320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120556800).

73777320 is an abundant number, since it is smaller than the sum of its proper divisors (167336280).

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

73777320 is a wasteful number, since it uses less digits than its factorization.

73777320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 43218, while the sum is 36.

The square root of 73777320 is about 8589.3725032740. The cubic root of 73777320 is about 419.4121026414.

The spelling of 73777320 in words is "seventy-three million, seven hundred seventy-seven thousand, three hundred twenty".