77225820 has 48 divisors (see below), whose sum is σ = 247123968. Its totient is φ = 17651520.

The previous prime is 77225809. The next prime is 77225831. The reversal of 77225820 is 2852277.

It is an interprime number because it is at equal distance from previous prime (77225809) and next prime (77225831).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91516 + ... + 92355.

It is an arithmetic number, because the mean of its divisors is an integer number (5148416).

Almost surely, 2^77225820 is an apocalyptic number.

77225820 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77225820 is an abundant number, since it is smaller than the sum of its proper divisors (169898148).

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

77225820 is a wasteful number, since it uses less digits than its factorization.

77225820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183890 (or 183888 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 77225820 is about 8787.8222558265. The cubic root of 77225820 is about 425.8475727009.

The spelling of 77225820 in words is "seventy-seven million, two hundred twenty-five thousand, eight hundred twenty".