77370040 has 64 divisors (see below), whose sum is σ = 191898720. Its totient is φ = 27840000.

The previous prime is 77370031. The next prime is 77370047. The reversal of 77370040 is 4007377.

It is a super-2 number, since 2×77370040² = 11972246179203200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) 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 = 77369990 and 77370008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77370047) 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, 43570 + ... + 45310.

Almost surely, 2^77370040 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 77370040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95949360).

77370040 is an abundant number, since it is smaller than the sum of its proper divisors (114528680).

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

77370040 is a wasteful number, since it uses less digits than its factorization.

77370040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 28.

The square root of 77370040 is about 8796.0241018315. The cubic root of 77370040 is about 426.1124994013.

The spelling of 77370040 in words is "seventy-seven million, three hundred seventy thousand, forty".