77954040 has 96 divisors (see below), whose sum is σ = 256651200. Its totient is φ = 20517120.

The previous prime is 77954003. The next prime is 77954047. The reversal of 77954040 is 4045977.

It is a happy number.

77954040 is a `hidden beast` number, since 7 + 79 + 540 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 77953986 and 77954004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77954047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27070 + ... + 29810.

It is an arithmetic number, because the mean of its divisors is an integer number (2673450).

Almost surely, 2^77954040 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 77954040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128325600).

77954040 is an abundant number, since it is smaller than the sum of its proper divisors (178697160).

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

77954040 is a wasteful number, since it uses less digits than its factorization.

77954040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 77954040 is about 8829.1585102998. The cubic root of 77954040 is about 427.1819322830.

The spelling of 77954040 in words is "seventy-seven million, nine hundred fifty-four thousand, forty".