77553940 has 48 divisors (see below), whose sum is σ = 172085760. Its totient is φ = 29312640.

The previous prime is 77553937. The next prime is 77553943. The reversal of 77553940 is 4935577.

It is an interprime number because it is at equal distance from previous prime (77553937) and next prime (77553943).

It is a super-2 number, since 2×77553940² = 12029227219047200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 77553893 and 77553902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77553943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25206 + ... + 28114.

It is an arithmetic number, because the mean of its divisors is an integer number (3585120).

Almost surely, 2^77553940 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 77553940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86042880).

77553940 is an abundant number, since it is smaller than the sum of its proper divisors (94531820).

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

77553940 is a wasteful number, since it uses less digits than its factorization.

77553940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 40.

The square root of 77553940 is about 8806.4714840849. The cubic root of 77553940 is about 426.4498396452.

The spelling of 77553940 in words is "seventy-seven million, five hundred fifty-three thousand, nine hundred forty".