77207040 has 160 divisors (see below), whose sum is σ = 274491360. Its totient is φ = 20570112.

The previous prime is 77207023. The next prime is 77207057. The reversal of 77207040 is 4070277.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77207023) and next prime (77207057).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 77206995 and 77207013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68562 + ... + 69678.

It is an arithmetic number, because the mean of its divisors is an integer number (1715571).

Almost surely, 2^77207040 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 77207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137245680).

77207040 is an abundant number, since it is smaller than the sum of its proper divisors (197284320).

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

77207040 is a wasteful number, since it uses less digits than its factorization.

77207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 77207040 is about 8786.7536667418. The cubic root of 77207040 is about 425.8130502843.

The spelling of 77207040 in words is "seventy-seven million, two hundred seven thousand, forty".