77023872 has 320 divisors, whose sum is σ = 266587200. Its totient is φ = 21897216.

The previous prime is 77023861. The next prime is 77023883. The reversal of 77023872 is 27832077.

It is an interprime number because it is at equal distance from previous prime (77023861) and next prime (77023883).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3348853 + ... + 3348875.

It is an arithmetic number, because the mean of its divisors is an integer number (833085).

Almost surely, 2^77023872 is an apocalyptic number.

77023872 is a gapful number since it is divisible by the number (72) 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 77023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133293600).

77023872 is an abundant number, since it is smaller than the sum of its proper divisors (189563328).

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

77023872 is a wasteful number, since it uses less digits than its factorization.

77023872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

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

The square root of 77023872 is about 8776.3245154222. The cubic root of 77023872 is about 425.4760469679.

It can be divided in two parts, 770 and 23872, that added together give a palindrome (24642).

The spelling of 77023872 in words is "seventy-seven million, twenty-three thousand, eight hundred seventy-two".