77226828 has 96 divisors (see below), whose sum is σ = 217448448. Its totient is φ = 20865600.

The previous prime is 77226823. The next prime is 77226829. The reversal of 77226828 is 82862277.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 77226828.

It is not an unprimeable number, because it can be changed into a prime (77226823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122073 + ... + 122703.

It is an arithmetic number, because the mean of its divisors is an integer number (2265088).

Almost surely, 2^77226828 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 77226828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108724224).

77226828 is an abundant number, since it is smaller than the sum of its proper divisors (140221620).

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

77226828 is a wasteful number, since it uses less digits than its factorization.

77226828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 721 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 77226828 is about 8787.8796077325. The cubic root of 77226828 is about 425.8494255030.

The spelling of 77226828 in words is "seventy-seven million, two hundred twenty-six thousand, eight hundred twenty-eight".