77220468 has 36 divisors (see below), whose sum is σ = 210212548. Its totient is φ = 23760000.

The previous prime is 77220467. The next prime is 77220469. The reversal of 77220468 is 86402277.

It is an interprime number because it is at equal distance from previous prime (77220467) and next prime (77220469).

It can be written as a sum of positive squares in 2 ways, for example, as 8363664 + 68856804 = 2892^2 + 8298^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (77220467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82033 + ... + 82968.

Almost surely, 2^77220468 is an apocalyptic number.

77220468 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

77220468 is an abundant number, since it is smaller than the sum of its proper divisors (132992080).

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

77220468 is a wasteful number, since it uses less digits than its factorization.

77220468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165024 (or 165019 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 77220468 is about 8787.5177382467. The cubic root of 77220468 is about 425.8377349339.

The spelling of 77220468 in words is "seventy-seven million, two hundred twenty thousand, four hundred sixty-eight".