77203728 has 120 divisors (see below), whose sum is σ = 248841216. Its totient is φ = 21888000.

The previous prime is 77203703. The next prime is 77203739. The reversal of 77203728 is 82730277.

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

It is a junction number, because it is equal to n+sod(n) for n = 77203692 and 77203701.

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, 192328 + ... + 192728.

Almost surely, 2^77203728 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 77203728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124420608).

77203728 is an abundant number, since it is smaller than the sum of its proper divisors (171637488).

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

77203728 is a wasteful number, since it uses less digits than its factorization.

77203728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 77203728 is about 8786.5651992118. The cubic root of 77203728 is about 425.8069614052.

The spelling of 77203728 in words is "seventy-seven million, two hundred three thousand, seven hundred twenty-eight".