77072268 has 96 divisors (see below), whose sum is σ = 223207936. Its totient is φ = 20155392.

The previous prime is 77072267. The next prime is 77072269. The reversal of 77072268 is 86227077.

It is an interprime number because it is at equal distance from previous prime (77072267) and next prime (77072269).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (77072267) 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, 177780 + ... + 178212.

Almost surely, 2^77072268 is an apocalyptic number.

77072268 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77072268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111603968).

77072268 is an abundant number, since it is smaller than the sum of its proper divisors (146135668).

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

77072268 is a wasteful number, since it uses less digits than its factorization.

77072268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 77072268 is about 8779.0812731174. The cubic root of 77072268 is about 425.5651406781.

The spelling of 77072268 in words is "seventy-seven million, seventy-two thousand, two hundred sixty-eight".